Question

Please solve this question!!

Answer 1

`f(x)=\displaystyle\sum_(n=1)^(\infty)c_n\cdot x^n \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\sum_(n=1)^(\infty)c_n\cdot n\cdot x^n\implies n\sum_(n=1)^(\infty)c_n\cdot x^n\implies n\cdot f(x)\quad \textit{assuming`