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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. Use the limit comparison test (Section 11.4) to show that the series Σ: tan 3n 3n is convergent. In order to be correct use n=1 for your comparison series; note that this series is convergent, because Σ 3n. n=1 n²' which is a convergent p-series (p= 2 > 1). Hint: You will need to use l'hospital's rule at some point.
Transcribed Image Text:8. Use the limit comparison test (Section 11.4) to show that the series Σ: tan 3n 3n is convergent. In order to be correct use n=1 for your comparison series; note that this series is convergent, because Σ 3n. n=1 n²' which is a convergent p-series (p= 2 > 1). Hint: You will need to use l'hospital's rule at some point.
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