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  • If n is even then the coefficient of x in the expansion of (1 + x)<span styl

If n is even then the coefficient of x in the expansion of (1 + x)n \left(1-\frac{1}{x}\right)^nis

Option: 1

{ }^n C_2


Option: 2

{ }^{2 n} C_n


Option: 3

0


Option: 4

1


Answers (1)

(1+x)^n\left(1-\frac{1}{x}\right)^n=x^{-n}\left(1-x^2\right)^n

Since n is even only even power of x will occur in the expansion. Hence coefficient of x is equal to zero.

Hence (C) is the correct answer.

Posted by

Ramraj Saini

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