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If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=su...

If `A=sum_(n=1)^oo 1/(3+(-1)^n)^n and B=sum_(n=1)^oo (-1)^n/(3+(-1)^n)^n` then the value of `A//B` is

A

`11/9`

B

1

C

`-11/9`

D

`-11/3`

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