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[DOC File]First exam practice sheet
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Evaluate the indefinite integral as an infinite series. Use the known MacLaurin series representation of to answer the following. Estimate the value of using the 3rd degree Taylor polynomial.
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[DOC File]Use the integral test to determine the convergence or ...
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Use the integral test to determine the convergence or divergence of the series Author: owen-m Last modified by: owen-m Created Date: 3/13/2013 6:29:00 PM Company: Troy City Schools Other titles: Use the integral test to determine the convergence or divergence of the series
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[DOC File]Series and Improper Integrals
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Series and Improper Integrals Section 9.2. 1. Show that the series converges by comparing it to the improper integral . 2. Show that the series diverges by comparing it to the improper integral . 3. Show that the series diverges for . 4. Use the integral test to determine if the series converge. A. B. 5. A. Does the series converge?
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[DOC File]Series Tests - Weebly
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The integral test: If then the series converges. If then the series diverges. Use this if it is easy to integrate . The p-series test. If use this test. If the series diverges. If the series converges. The comparison test. If is a known convergent series and < then the series converges. If is a known divergent series and > then the series diverges.
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[DOC File]MAT1228 Classwork
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Step 3: State that satisfy the hypothesis of the integral test. Therefore, is continuous, positive and decreasing on and . Step 4: Find the convergence of the improper integral. Step 5: Make the conclusion. By the integral test, is also . p-series. Example 2. is convergent. (p-series, ) Example 3 . is convergent.
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[DOC File]Austin Community College District | Start Here. Get There.
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Integral Test. The series converges if its integral converges (look for things that can be integrated, especially log’s) Direct Comparison. Use when the comparison is in the right direction and easy. Limit Comparison. Works for almost all powers of n. Comparison tests. Useful for powers of n. Lim > 1.
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[DOC File]Calculus 2 Lecture Notes, Section 8.3
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Theorem 3.1: The Integral Test for Convergence of a Series. If f(k) = ak for all k = 1, 2, 3, …, and f is both continuous and decreasing, and f(x) ( 0 for x ( 1, then and either . both . converge or . both. diverge. Practice: determine whether converges or diverges. Corollary: p-Series. The p-Series converges if p > 1 and diverges if p ( 1 ...
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[DOC File]Section 1 - Radford
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The Integral Test. For a function f, if f (x) > 0, is continuous and decreasing for and , then. either both converge or both diverge. Note: The integral test is only a test for convergence or divergence. In the case of convergence, it does not find a value for the sum of the series. Example 1: Determine the convergence or divergence of the series
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Integral test for series