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sum(n=1)^(oo)(1)/(2n-1)*x^(2n)=...

`sum_(n=1)^(oo)(1)/(2n-1)*x^(2n)=`

A

`(x)/(2)log((1+x)/(1-x))^(x)`

B

`(1)/(2)log((1+x^(2))/(1-x^(2)))`

C

`x"log"(1+x)/(1-x)`

D

`(x)/(2)log((1+x)/(1-x))`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-LOGARITHMIC SERIES -EXERCISE - II(A) (CLASS WORK)
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  10. sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

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