MAT136H1 Study Guide - Midterm Guide: Integral Test For Convergence, Improper Integral
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MAT136H1 Full Course Notes
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Question #1 (easy): integral test for divergent series. For function is continuous, positive, and decreasing over [ ), let ) The series is convergent if its improper integral ) is convergent is divergent, then the series . In order to apply the integral test the function needs to be first checked if it is continuous, positive and decreasing over [ ) Using the integral test, determine if the series is convergent or divergent. is also divergent. The function ) is continuous, positive and decreasing over [ ), so the integral test can apply. Since it is in the form of chain rule, substitution can apply.