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Given in (-1,0)uu(0,1)and f(x)= sum(n-0)...

Given `in (-1,0)uu(0,1)and f(x)= sum_(n-0)^(oo) x^(n)(-1)^(n(n+1)/(2)).` The function f (x) is equivalent to a rational function

A

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

B

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

C

`(1)/(1-x)`

D

`(1)/(1+x)`

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