Test 1 Study Guide

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

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

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