8. Use the limit comparison test (Section 11.4) to show that the series Σ tan 3n n=1 is convergent. In order to be correct use 3n n=1 for your comparison series; note that this series is convergent, because ΣΗ n=1 which is a convergent p-series (p = 2 > 1). Hint: You will need to use l'hospital's rule at some point.

8. Use the limit comparison test (Section 11.4) to show that the series Σ tan 3n n=1 is convergent. In order to be correct use 3n n=1 for your comparison series; note that this series is convergent, because ΣΗ n=1 which is a convergent p-series (p = 2 > 1). Hint: You will need to use l'hospital's rule at some point.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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