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Assertion (A) If |x| lt 1, then sum(n=...

Assertion (A) If `|x| lt 1`, then
`sum_(n=0)^(oo)(-1)^(n)x^(n+1) =x/(x+1)`
Reason (R) If `|x| lt 1`, then `(1+x)^(-1)`
`=1-x+x^(2)-x^(3)+...`
Which one of the following is true ?

A

(A) and (R) are true, (R) is a correct explsnstion of (A)

B

(A) and (R) are true but (R) is not a correct explanation of (A)

C

(A) is true, but (R) is talse

D

(A) is false, but (R) is true

Text Solution

Verified by Experts

The correct Answer is:
A
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