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If n is an even positive integer greate...

If n is an even positive integer greater than 1 and `x gt0`, then the condition that the greatest term in the expansion of `(1+x)^(n)` may have the greatest coefficient also is

A

`(n-1)/(n) lt x lt (n)/(n-1)`

B

`(n)/(n+1) lt x lt (n+1)/(n)`

C

`(n)/(n+2) lt x lt (n+3)/(n)`

D

`(n)/(n+2) lt x lt (n+2)/(n)`

Text Solution

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The correct Answer is:
D
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