Question

Binomial Expansion Series $ \left( \frac{(1 + x)}{(n + 1)} \right)' = n_0 x + n_1 \frac{x^2}{2} + n_2 \frac{x^3}{3} + \cdots + n_n \frac{x^n}{n+1} $

Hint:

The binomial series is an approximation for powers of \( (1 + x) \), and the general form of each term involves binomial coefficients along with increasing powers of \( x \).