how to find the terms through x^5 in the maclaurin series for?

Question

Hint: it may be easiest to use knownMaclaurin series and then perform multiplications, divisions, and so on. For example, tan x = (sin x)/(cos x).

(1)f(x) = tan x,
(2) f(x) = e^2 sin x
(3) 1 + x^2 + X^3, a = 1