If , prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

(1+x)^n = C_0 + C_1 x + C_2 x^2 + \dots + C_n x^n

, prove that

C_0^2 + \frac{C_1^2}{2} + \frac{C_2^2}{3} + \dots + \frac{C_n^2}{n+1} = \frac{(2n+1)!}{(n+1)!^2}