Spivak 4th Edition: Chapter 20, Problem 13

f(x) = ((e^x) - 1)/x , x not equal to 0

f(x) = 1, x = 0

a) Find the Taylor Polynomial of degree n for f at 0, compute f^(k)(0) [f differentiated k times at 0], and give an estimate for the remainder term Rn,0,f.

b) compute integral from 0 to 1 of f with error of less than 10^-4.

I haven't worked with any questions like this before so I'm unable to get started. Seeing this example worked fully would be enough to understand the topic.

~Many Thanks