. Consider the series partial sum of infinity to k = 2 of (k^4 + 2k^2 + k −3)^(1/2)/(k^3 + 2k^2 + 6) . (a) Explain why the Limit Comparison Test is a good choice for determining convergence/divergence of the series. (b) Use the Limit Comparison Test to determine whether the converges or diverges. Make sure to carefully apply the test and to explain your choice of a comparison series.

. Consider the series partial sum of infinity to k = 2 of (k^4 + 2k^2 + k −3)^(1/2)/(k^3 + 2k^2 + 6) . (a) Explain why the Limit Comparison Test is a good choice for determining convergence/divergence of the series. (b) Use the Limit Comparison Test to determine whether the converges or diverges. Make sure to carefully apply the test and to explain your choice of a comparison series.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 22RE

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