Home
Class 11
MATHS
If the sum of the series 1+2/x+4/x^2+8/x...

If the sum of the series `1+2/x+4/x^2+8/x^3+....oo` is finite number then

A

`x gt2`

B

`xgt-2`

C

`x gt 1/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If |x| lt 1 ,then the sum of the series 1 + 2x + 3x^(2) + 4x^(2) + ....infty will be

Find the sum to ininity of the series 1-3x+5x^(2)+7x^(3)+....oo when lx|<1

If |x| lt 1 , then find the sum of the serires 2+ 4x + 6x^(2) + 8x^(3) + …….. .

If the sum of series 1+(3)/(x)+(9)/(x^(2))+(27)/(x^(3))+ . . .. " to "oo is a finite number, then

if the sum of the series 2+(5)/(x)+(25)/(x^(2))+(125)/(x^(3))+......... Is finite then

The sum of the the series 1+2x3+3x5+4x7+.... Upto 11^(th) term is

Find the sum to n terms of the series: 1+2x+3x^(2)+4x^(3)+......