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Let a, = and b, n - 5 Calculate the following limit. an lim (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence of a,. E a, diverges by the Limit Comparison Test because b, diverges. E an diverges by the Limit Comparison Test because E b, diverges and lim - an is infinite. 00 bn E an converges by the Limit Comparison Test because E bn converges and lim an does not exist. 00 00 E an converges by the Limit Comparison Test because E b, converges and lim n00 b, an exists and is finite.

Let a, = and b, n - 5 Calculate the following limit. an lim (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence of a,. E a, diverges by the Limit Comparison Test because b, diverges. E an diverges by the Limit Comparison Test because E b, diverges and lim - an is infinite. 00 bn E an converges by the Limit Comparison Test because E bn converges and lim an does not exist. 00 00 E an converges by the Limit Comparison Test because E b, converges and lim n00 b, an exists and is finite.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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1 Let an = and ba Calculate the following limit. an lim (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim 00 Determine the convergence of E an. E an diverges by the Limit Comparison Test because i b, diverges. n=1 2 an diverges by the Limit Comparison Test because b, diverges and lim is infinite. n=1 n=1 00 00 E a, converges by the Limit Comparison Test because E b, converges and lim n0o bn an does not exist. n=1 n=1 00 E an converges by the Limit Comparison Test because E b, converges and lim an exists and is finite. n=1 n=1
Transcribed Image Text:1 Let an = and ba Calculate the following limit. an lim (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim 00 Determine the convergence of E an. E an diverges by the Limit Comparison Test because i b, diverges. n=1 2 an diverges by the Limit Comparison Test because b, diverges and lim is infinite. n=1 n=1 00 00 E a, converges by the Limit Comparison Test because E b, converges and lim n0o bn an does not exist. n=1 n=1 00 E an converges by the Limit Comparison Test because E b, converges and lim an exists and is finite. n=1 n=1
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