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If 0 lt y lt 1, then sum(n=1)^(oo)(1)/(2...

If `0 lt y lt 1`, then `sum_(n=1)^(oo)(1)/(2n-1)*y^(n+1)=……`

A

a) `(y^(3//2))/(2) log((1+sqrt(y))/(1-sqrt(y)))`

B

b) `y^(3//2)log((1-sqrt(y))/(1+sqrt(y)))`

C

c) `y^(1//2)log((1+sqrt(y))/(1-sqrt(y)))`

D

d) `y^(1//2)log((1-sqrt(y))/(1+sqrt(y)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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