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∞ (2) Use the Limit Comparison Test to determine whether the series Σ Σ cot (1½) is convergent. n=1

∞ (2) Use the Limit Comparison Test to determine whether the series Σ Σ cot (1½) is convergent. n=1

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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can someone help me with this calculus question, thanks

In certain situations, the (Direct) Comparison Test has limited application because comparing functions (in n) can be challenging. In such situations, you might try using the Limit Comparison Test as stated below. Theorem (The Limit Comparison Test). Suppose Σ An n=1 an and Σ bn are series with n=1 positive terms. If lim = c where c is a finite number and c > 0, then either both nxx bp series converge or both diverge. (2) Use the Limit Comparison Test to determine whether the series Σ cot Σοκ (1) is convergent. n=1
Transcribed Image Text:In certain situations, the (Direct) Comparison Test has limited application because comparing functions (in n) can be challenging. In such situations, you might try using the Limit Comparison Test as stated below. Theorem (The Limit Comparison Test). Suppose Σ An n=1 an and Σ bn are series with n=1 positive terms. If lim = c where c is a finite number and c > 0, then either both nxx bp series converge or both diverge. (2) Use the Limit Comparison Test to determine whether the series Σ cot Σοκ (1) is convergent. n=1
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