#1-4 Complete each statement. 1. The Integral Test: Suppose f is a, and function on [1, c0) and let an = f(n). The series E=1ax is convergent if and only if the improper integral %3D is convergent. 2. The p-Series Test: A p-series is a series of the form where p is a number greater than zero. If series converges. If, then the then the series diverges. 3. The Comparison Test: Suppose that Ean and Eb, are series with terms. If E bn is convergent, and a, s bn for all n, then If E bn is divergent, and an 2 bn for all n, then 4. The Limit Comparison Test: Suppose that an and E b, are series with terms. an If lim = c wherec is a and c > then either both series or both series

#1-4 Complete each statement. 1. The Integral Test: Suppose f is a, and function on [1, c0) and let an = f(n). The series E=1ax is convergent if and only if the improper integral %3D is convergent. 2. The p-Series Test: A p-series is a series of the form where p is a number greater than zero. If series converges. If, then the then the series diverges. 3. The Comparison Test: Suppose that Ean and Eb, are series with terms. If E bn is convergent, and a, s bn for all n, then If E bn is divergent, and an 2 bn for all n, then 4. The Limit Comparison Test: Suppose that an and E b, are series with terms. an If lim = c wherec is a and c > then either both series or both series

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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