The term independent of x in the expansion of (1 + x) n (1+ 1 x )^ n is :
Mathematics · JEE Advanced · NTA Exams — Binomial Theorem And Its Simple Applications
The term independent of x in the expansion of (1 + x)n \(\left(1+\frac{1}{x}\right)^{n}\)is :
- \(\mathrm{C}_{0}^{2}+2 \mathrm{C}_{1}^{2}+3 \mathrm{C}_{2}^{2}+\ldots+(\mathrm{n}+1) \mathrm{C}_{\mathrm{n}}^{2}\)
- (C0 + C1 + C2 + ... + Cn)2
- \(C_{0}^{2}+C_{1}^{2}+\ldots+C_{n}^{2}\)
- none of these
Answer
(C) C_ 0 ^ 2 +C_ 1 ^ 2 + +C_ n ^ 2
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