Home
Class 11
MATHS
The value of 1+(1)/(3^(2))+(1.4)/(1.2)(1...

The value of `1+(1)/(3^(2))+(1.4)/(1.2)(1)/(3^(4))+(1.4.7)/(1.2.3)(1)/(3^(6))+....` is

A

`((3)/(2))^((1)/(3))`

B

`((5)/(4))^((1)/(3))`

C

`((3)/(2))^((1)/(6))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of 8^(2//3)-16^(1//4)-9^(1//2) is

Calculate the following . Write them as products. i) (1)/(4) of (1)/(2) ii) (1)/(2) of (1)/(4) iii) (1)/(5) of (1)/(3) iv) (1)/(3) of (1)/(5) v) (1)/(6) . of (1)/(3) vi) (1)/(3) of (1)/(6)

Find the value of sin(1/2cos^(-1)(-3/4))

int(1)/([(x-1)^(3)(x+2)^(5)]^(1//4))dx is equal to a) 4/3((x-1)/(x+2))^(1//4)+C b) 4/3((x+2)/(x-1))^(1//4)+C c) 1/3((x-1)/(x+2))^(1//4)+C d) 1/3((x+2)/(x-1))^(1//4)+C

If a _(1) , a _(2), a _(3),... are in AP, then the value of |{:(a _(1), a _(2) , 1), ( a _(2), a _(3),1), (a _(3), a _(4), 1):}| is equal to

The sum of the infinite series 1/2(1/3+1/4)-1/4(1/3^2+1/4^2)+1/6(1/3^3+1/4^3)-... is equal to a) 1/2 log 2 b) log""3/5 c) log""5/3 d) 1/2 log""5/3

The sum of the series tan ^(-1)"" (1)/( 1 + 1 + 1 ^(2)) + tan ^(-1)"" (1)/( 1 + 2 + 2 ^(2)) + tan ^(-1) ""(1)/( 1 + 3 + 3 ^(2)) +... is equal to : a) pi/4 b) pi/2 c) pi/3 d) pi/6