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If a,x arereal numbers and |a| lt 1, |x|...

If `a,x` arereal numbers and `|a| lt 1, |x| lt 1 ` then `1+(1+a)x+(1+a+a^2)x^2+...oo` is equal to

A

`(1)/((1-a)(1-ax))`

B

`(1)/((1-a)(1-x))`

C

`(1)/((1-x)(1-ax))`

D

`(1)/((1-ax)(1-a))`

Text Solution

Verified by Experts

The correct Answer is:
C
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