If |x| lt 1," then "1+n ((2x)/(1+x))+(n(...

If `|x| lt 1," then "1+n ((2x)/(1+x))+(n(n+1))/(2!) ((2x)/(1+x))^(2) +…..` is equal to

A

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

B

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

C

C) `((1-x)/(1+x))^(n)`

D

D) `((1+x)/(1-x))^(n)`

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The correct Answer is:

D

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