Problem 1558 (difficulty: 5/10)

Find the first four terms of the Taylor series around \(\displaystyle 0\) of the following functions

   a) \(\displaystyle \tg z\)    b) \(\displaystyle \displaystyle\frac{1}{e^z-1}\)    c) \(\displaystyle e^{\displaystyle e^z}\)    d) \(\displaystyle \displaystyle\frac{e^z-1}{\sin z}\)

Give me another random problem!