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Let 5n + 14n 3n - 5n2 - 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence or divergence of an. n=1 E an diverges by the Limit Comparison Test because lim an is finite and b, diverges. n=1 n=1 а, a, converges by the Limit Comparison Test because lim is finite and b, converges. n=1 n=1 00 Σ an converges by the Limit Comparison Test because lim an is finite and bn diverges. n=1 n=l It is not possible to use the Limit Comparison Test to determine the convergence or divergence of an- n=1 II

Let 5n + 14n 3n - 5n2 - 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence or divergence of an. n=1 E an diverges by the Limit Comparison Test because lim an is finite and b, diverges. n=1 n=1 а, a, converges by the Limit Comparison Test because lim is finite and b, converges. n=1 n=1 00 Σ an converges by the Limit Comparison Test because lim an is finite and bn diverges. n=1 n=l It is not possible to use the Limit Comparison Test to determine the convergence or divergence of an- n=1 II

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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Let 5n? + 14n 5 3n – 5n2 – 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence or divergence of an. an E an diverges by the Limit Comparison Test because lim is finite and E b, diverges. n=1 n=1 a, converges by the Limit Comparison Test because lim is finite and b, converges. n=1 n=1 00 Σ an converges by the Limit Comparison Test because lim an is finite and bn diverges. no b, n=1 n=l It is not possible to use the Limit Comparison Test to determine the convergence or divergence of Ea an- n=1 II
Transcribed Image Text:Let 5n? + 14n 5 3n – 5n2 – 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) an lim Determine the convergence or divergence of an. an E an diverges by the Limit Comparison Test because lim is finite and E b, diverges. n=1 n=1 a, converges by the Limit Comparison Test because lim is finite and b, converges. n=1 n=1 00 Σ an converges by the Limit Comparison Test because lim an is finite and bn diverges. no b, n=1 n=l It is not possible to use the Limit Comparison Test to determine the convergence or divergence of Ea an- n=1 II
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