Question 0807

By successively differentiating ${(1 + x)^n,}$ find Maclaurin's series for ${(1 + x)^n,}$ up to and including the term in ${x^3.}$

Obtain the expansion of up to and including the term in ${x^3.}$

Find the set of values of ${x}$ for which the expansion in part (ii) is valid.