Test 1 Study Guide

# Test 1 Study Guide - L’Hôpital’s Rule for form and...

This preview shows pages 1–3. Sign up to view the full content.

Calculus II – Test 1 Study Guide Objectives 1. How to find Taylor polynomials 2. How to estimate the remainder 3. How to ensure accuracy to a given number of decimal places 4. How to use l’Hôpital’s rule, including forms 0/0, infinity/infinity 5. How to treat limits of the form zero times infinity and other exotic forms 6. How to compute improper integrals of functions over unbounded intervals, or of unbounded functions over finite intervals 7. How to test integrals for convergence and divergence Taylor Polynomial, Taylor Remainder, and Lagrange Remainder at Zero Taylor Polynomial, Taylor Remainder, and Lagrange Remainder at x – a

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: L’Hôpital’s Rule for form and Given , if and then by L’Hôpital’s rule, Given , if and then by L’Hôpital’s rule, L’Hôpital’s Rule for form or Given , if and then rewrite the limit as or to achieve or and proceed with L’Hôpital’s rule from there. L’Hôpital’s Rule for form Given , if and then reduce the limit to achieve the form or and proceed with L’Hôpital’s rule from there. L’Hôpital’s Rule for form ,, or Given , take the ln of both sides to produce the form . Then find and then take the exponential. This can be summarized into single line form: ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Test 1 Study Guide - L’Hôpital’s Rule for form and...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online