 # A18 (estimation of the remainder for exp) Let f: R R be given thr...

## Question

Show transcribed text

## Transcribed Text

A18 (estimation of the remainder for exp) Let f: R R be given through f (x) = exp(x). a) Find the Taylor polynomial Tn,xx (h) and the related remainder Rn,x* (h) of f for the expansion point Xx = 0. b) Give a bound for the remainder R20,0(h) I for X E [-5,5]. A19 (Taylor polynomial of the inverse function) Let f: (1,00) 1,00), f (x) = X In X - X. Show that f is bijective and twice differentiable. Compute the first two derivatives of the inverse function f -1 - at the point y = 0 and calculate the second order Taylor polynomial of f -1 for the expansion point Y* = A20 (Newtons Method) Use the Newton method to determine an approximate zero for the function g(x) = (x - 1) (cos X + 2) starting from the starting values 2.5 and 105. . What is the error in the sixth iteration step I (x6 - 1|?

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

By purchasing this solution you'll be able to access the following files:
Solution.pdf.

\$25.00
for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

### Find A Tutor

View available Numerical Analysis Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.