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Sum the following geometric series to infinity: 1/2+1/3^3+1/2^3+1/3^4+1/2^5+1/3^5+∞

Sum the following geometric series to infinity: 1/2+1/3^3+1/2^3+1/3^4+1/2^5+1/3^5+∞ Study Space

338 views - 2 years ago

Prove that the sum of n terms of the series: 11+103+1005+is10/9(10n−1)+n2.

Prove that the sum of n terms of the series: 11+103+1005+is10/9(10n−1)+n2. Study Space

197 views - 2 years ago

Prove that : 61/2×61/4×61/8 _________ ∞=6.

Prove that : 61/2×61/4×61/8 _________ ∞=6. Study Space

171 views - 2 years ago

Find the sum of the following series: (√2−1)+1+(√2−1)+∞

Find the sum of the following series: (√2−1)+1+(√2−1)+∞ Study Space

50 views - 2 years ago

A person writes a letter to four of his friends. He asks each one of them to copy the letter and...

A person writes a letter to four of his friends. He asks each one of them to copy the letter and... Study Space

148 views - 2 years ago

If S be the sum, P the product and R the sum of the reciprocals of n terms of a G.P, prove that...

If S be the sum, P the product and R the sum of the reciprocals of n terms of a G.P, prove that... Study Space

117 views - 2 years ago

Find the sum of the infinite geometric series (−5/4+5/16−5/64+...∞).

Find the sum of the infinite geometric series (−5/4+5/16−5/64+...∞). Study Space

79 views - 2 years ago

If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that f(1)=3 and n∑x=1 f(x)=120...

If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that f(1)=3 and n∑x=1 f(x)=120... Study Space

53 views - 2 years ago

Find the sum to n terms of the sequence (x+1/x)2,(x2+1/x2)2,(x2+1/x3)2,......

Find the sum to n terms of the sequence (x+1/x)2,(x2+1/x2)2,(x2+1/x3)2,...... Study Space

160 views - 2 years ago

Find the sum to n terms of the sequence "an" given by an=2n+3n,nϵN.

Find the sum to n terms of the sequence "an" given by an=2n+3n,nϵN. Study Space

174 views - 2 years ago

Write the value of limx→0 sin5x / 2x

Write the value of limx→0 sin5x / 2x Study Space

375 views - 2 years ago

Find the equation of a line with slope -1 and cutting off an intercept of 4 units on negative.......

Find the equation of a line with slope -1 and cutting off an intercept of 4 units on negative....... Study Space

65 views - 2 years ago

Find the equation of the line parallel to x-axis and passing through (3, -5).

Find the equation of the line parallel to x-axis and passing through (3, -5). Study Space

122 views - 2 years ago

Determine X so that the line passes through 3, 4 and X,5 Max 135 angle with the positive directio...

Determine X so that the line passes through 3, 4 and X,5 Max 135 angle with the positive directio... Study Space

63 views - 2 years ago

Find the angle between the lines joining the points (0, 0), (2, 3) and (2, −2), (3, 5).

Find the angle between the lines joining the points (0, 0), (2, 3) and (2, −2), (3, 5). Study Space

256 views - 2 years ago

Let A(6,4)andB(2,12) be two given points. Find the slope of a line perpendicular to AB.

Let A(6,4)andB(2,12) be two given points. Find the slope of a line perpendicular to AB. Study Space

43 views - 2 years ago

Determine x so that 2 is the slope of the line (2,5) and (x,3).

Determine x so that 2 is the slope of the line (2,5) and (x,3). Study Space

78 views - 2 years ago

What is the value of y so that the line through (3,y)and(2,7) is parallel to the line through (−1,..

What is the value of y so that the line through (3,y)and(2,7) is parallel to the line through (−1,.. Study Space

18 views - 2 years ago

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (- 1, - 1) are vert...

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (- 1, - 1) are vert... Study Space

30 views - 2 years ago

A quadrilateral has the vertices at the points (-4, 2), (2, 6), (8, 5) and (9, -7). Show that th....

A quadrilateral has the vertices at the points (-4, 2), (2, 6), (8, 5) and (9, -7). Show that th.... Study Space

69 views - 2 years ago

Prove that (4,3) , (6,4) , (5,6) and (3,5) are the angular points of a square.

Prove that (4,3) , (6,4) , (5,6) and (3,5) are the angular points of a square. Study Space

101 views - 2 years ago

If the angle between two lines is π/4 and slope of one of the line is 1/2, find the slope of the...

If the angle between two lines is π/4 and slope of one of the line is 1/2, find the slope of the... Study Space

498 views - 2 years ago

Using the concept of slope, prove that medians of an equilateral triangle are perpendicular to the..

Using the concept of slope, prove that medians of an equilateral triangle are perpendicular to the.. Study Space

128 views - 2 years ago

Prove that a triangle which has one of the angle as 30 degree, can not have all vertices with...

Prove that a triangle which has one of the angle as 30 degree, can not have all vertices with... Study Space

20 views - 2 years ago

The vertices of a triangle are A(x1,x1tanθ1),B(x2,x2tanθ2) & C(x3,x3tanθ3). If the circumcentre...

The vertices of a triangle are A(x1,x1tanθ1),B(x2,x2tanθ2) & C(x3,x3tanθ3). If the circumcentre... Study Space

272 views - 2 years ago

Find the equation of a straight line cutting off an intercept-1 from the y-axis and being equally...

Find the equation of a straight line cutting off an intercept-1 from the y-axis and being equally... Study Space

285 views - 2 years ago

Find the equation of a straight line which makes an angle of Tan^-1 √2 with the -axis and cuts off..

Find the equation of a straight line which makes an angle of Tan^-1 √2 with the -axis and cuts off.. Study Space

18 views - 2 years ago

Find the equation of a straight line which cuts off an intercept of length 3 on y - axis...

Find the equation of a straight line which cuts off an intercept of length 3 on y - axis... Study Space

123 views - 2 years ago

Find the equation of a line that has y-intercept as 4 and is perpendicular to line joining (2,−3)...

Find the equation of a line that has y-intercept as 4 and is perpendicular to line joining (2,−3)... Study Space

55 views - 2 years ago

Find the equation of the straight line which makes an angles of 15∘ with the positive direction...

Find the equation of the straight line which makes an angles of 15∘ with the positive direction... Study Space

30 views - 2 years ago

P1,P2 are points on either of the two lines y−√3|x|=2 at a distance of 5 units from their point.....

P1,P2 are points on either of the two lines y−√3|x|=2 at a distance of 5 units from their point..... Study Space

505 views - 2 years ago

Find the equation of a line passing through (2, -3) and inclined at an angle of 135∘ with the.......

Find the equation of a line passing through (2, -3) and inclined at an angle of 135∘ with the....... Study Space

116 views - 2 years ago

Find the equation of a line which is parallel to y−axis and passes through (−4,3).

Find the equation of a line which is parallel to y−axis and passes through (−4,3). Study Space

24 views - 2 years ago

Find the equation of line equidistant from the lines x=-4 and x=8.

Find the equation of line equidistant from the lines x=-4 and x=8. Study Space

286 views - 2 years ago

The equation of a straight line which cuts off an intercept of 5 units on the negative direction....

The equation of a straight line which cuts off an intercept of 5 units on the negative direction.... Study Space

13 views - 2 years ago

The value of lim x→0 1−cos2x/x

The value of lim x→0 1−cos2x/x Study Space

17 views - 2 years ago

lim x→0 1−cosx/x^2

lim x→0 1−cosx/x^2 Study Space

6 views - 2 years ago

lim x→0 1−cos 2mx/1−cos 2nx

lim x→0 1−cos 2mx/1−cos 2nx Study Space

17 views - 2 years ago

lim x→0 1−cosmx/1−cosnx

lim x→0 1−cosmx/1−cosnx Study Space

5 views - 2 years ago

lim x→0 tanx−sinx/sin^3 x

lim x→0 tanx−sinx/sin^3 x Study Space

7 views - 2 years ago

lim x→0 tanx−sinx/x^3

lim x→0 tanx−sinx/x^3 Study Space

18 views - 2 years ago

lim x→0tan2x−sin2x/x^3

lim x→0tan2x−sin2x/x^3 Study Space

8 views - 2 years ago

Evaluate the following limits:lim x→0 sin2x+sin3x/2x+sin3x

Evaluate the following limits:lim x→0 sin2x+sin3x/2x+sin3x Study Space

25 views - 2 years ago

lim x→0 sin2x+sin6x/sin5x−sin3x.

lim x→0 sin2x+sin6x/sin5x−sin3x. Study Space

688 views - 2 years ago

Evaluate: lim x→0 1−cos2x/x^2

Evaluate: lim x→0 1−cos2x/x^2 Study Space

17 views - 2 years ago

The angles of a triangle are in AP and the number of grades in the least is to the number of........

The angles of a triangle are in AP and the number of grades in the least is to the number of........ Study Space

60 views - 2 years ago

Express the angular measurement of the angle of a regular decagon in the degrees, grades and......

Express the angular measurement of the angle of a regular decagon in the degrees, grades and...... Study Space

337 views - 2 years ago

If in two circles, arcs of the same length subtend angles 60∘ and 75∘ at the centre, find the.......

If in two circles, arcs of the same length subtend angles 60∘ and 75∘ at the centre, find the....... Study Space

51 views - 2 years ago

A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop.......

A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop....... Study Space

507 views - 2 years ago

The perimeter of a certain sector is equal to the length of Arc of a semicircle having the same...

The perimeter of a certain sector is equal to the length of Arc of a semicircle having the same... Study Space

458 views - 2 years ago

The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes?

The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? Study Space

92 views - 2 years ago

Find the angle between the minute hand and the hour hand of a clock when the time is 7:20 AM.

Find the angle between the minute hand and the hour hand of a clock when the time is 7:20 AM. Study Space

30 views - 2 years ago

A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the...

A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the... Study Space

273 views - 2 years ago

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of.....

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of..... Study Space

46 views - 2 years ago

The angles of a triangle are in A.P. and the number of degrees in the least is to the number of ra..

The angles of a triangle are in A.P. and the number of degrees in the least is to the number of ra.. Study Space

25 views - 2 years ago

Describe each of the following sets in Roster form- (x : x is a letter of the word 'PROPORTI.....

Describe each of the following sets in Roster form- (x : x is a letter of the word 'PROPORTI..... Study Space

116 views - 2 years ago

Consider the following sets φ, A={1,2},B={1,4,8},C={1,2,4,6,8}

Consider the following sets φ, A={1,2},B={1,4,8},C={1,2,4,6,8} Study Space

15 views - 2 years ago

Describe the following set in Roster form.{x:x ∈ Z and |X| ≤ 2}

Describe the following set in Roster form.{x:x ∈ Z and |X| ≤ 2} Study Space

28 views - 2 years ago

State which of the following are infinite sets | Class 11th

State which of the following are infinite sets | Class 11th Study Space

42 views - 2 years ago

Write the following sets in the roaster form. A = {x | x is a positive integer less than 10....

Write the following sets in the roaster form. A = {x | x is a positive integer less than 10.... Study Space

1K views - 2 years ago