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If C(0),C(1),C(2),C(3),….. are binomial ...

If `C_(0),C_(1),C_(2),C_(3),…..` are binomial coefficients in the expansion of `(1+x)^(n)`, then `(C_(0))/(3)-(C_(1))/(4)+(C_(2))/(5)-(C_(3))/(6)+....` is equal to

A

`(1)/(n+1)-(2)/(n+2)+(1)/(n+3)`

B

`(1)/(n+1)+(2)/(n+2)-(1)/(n+3)`

C

`(1)/(n+2)-(1)/(n+1)+(1)/(n+3)`

D

`(2)/(n+1)-(1)/(n+2)+(2)/(n+3)`

Text Solution

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The correct Answer is:
A
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