Be
$$f(x)=\frac{(6-5x)}{(1-x)(2-x)}$$
how to find the MacLaurin series for $f(x)$?
I can split
$$f(x) \to f(x)= \frac{1}{(1-x)} + \frac{4}{(2-x)}$$
hence
$$f(x)= \sum_{n = 0}^{+\infty} x^n + \sum_{n = 0}^{+\infty} \frac{x^n}{2^{n-1}}$$
is it right answer??
And how do I find $f'''''(0)$?