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Question

Question: The coefficient of x<sup>n</sup> in the binomial expansion of (1 – x)<sup>–2</sup> is–...

The coefficient of xn in the binomial expansion of (1 – x)–2 is–

A

2n2!\frac{2^{n}}{2!}

B

n + 1

C

n

D

2n

Answer

n + 1

Explanation

Solution

(1 – x)–2 = 1 + 2x + 3x2 + .....(n+1)xn+....

\ Coefficient of xn = n + 1