If f ^(n) (0) = (n + 1)! for n = 0, 1, 2,... , find the Maclaurin series for f.

Answer 1

well, the series is then
f(x) = f(0) + f'(0)/1! x + f"(0)/2! x^2 + ...
= 1 + x + x^2 + ...

Answer 2

you way suck.