Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o bn where c is a finite number with c > 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) Determine whether the series 5n 10 + 2n + 1 Vn4064 + 1 n=1 converges or diverges by comparing with 1 n2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) Determine whether the series Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer. IM:

Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o bn where c is a finite number with c > 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) Determine whether the series 5n 10 + 2n + 1 Vn4064 + 1 n=1 converges or diverges by comparing with 1 n2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) Determine whether the series Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer. IM:

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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