Hi, I was wondering if anyone could help me understand this concept. I need urgent but specific help. What I mean is that if possible, I would like "baby steps". Step-by-step explanations if you will. I'd really appreciate it. Anyways, here are some of the problems:
"Find the Taylor polynomial of order four for the function at x=0, and use it to approximate the value of the function at x=0.2."
1. ) 5 sin ( - x )
2. ) ( 1 - x )^-2
As for Lagrange error,
" 1. ) The approximation Sqrt ( 1 + x ) ≈ 1 + ( x / 2 ) is used when x is small. Estimate the maximum error when |x| < 0.01"
I hope I am not abusing of your help, though I have a feeling I am. I know it's a lot of questions but I wouldn't feel confident with just one example. Thank you if you read this, or choose to respond.