Test 2 Study Guide

# Test 2 Study Guide - TThe Ratio Test he Root Test The Basic...

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The Integral Test If is continuous, positive, and decreasing on [1, ∞), then converges iff converges. The p-Test The converges iff . The Basic Comparison Test Suppose that and are series with nonnegative terms and for all k sufficiently large. If converges, then converges If diverges, then diverges The Limit Comparison Test Let and be series with positive terms. If , and is positive, then converges iff converges. The Alternating Series Test If the series has form , where all the , and is decreasing, and , then converges. The Absolute Convergence Test Let be a series with positive and negative terms. If converges, then converges. The Root Test Let be a series with nonnegative terms, and suppose that . If , then converges. If , then diverges. If , then the test is inconclusive. The Ratio Test Let be a series with positive terms, and suppose that . If , then converges. If , then diverges. If , then the test is inconclusive.

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## This note was uploaded on 09/12/2011 for the course MATH 1502 taught by Professor Mcclain during the Spring '07 term at Georgia Tech.

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Test 2 Study Guide - TThe Ratio Test he Root Test The Basic...

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