2 n² n43 Calculate the following limit. an lim n→∞ bn (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) Let an = an lim = n→∞ bn and b₁ = 1 n² ∞ Determine the convergence of Σ ant n=1 00 an converges by the Limit Comparison Test because [ b, converges and lim n=1 an n→∞ bn n=1 ∞0 ∞0 Σ an diverges by the Limit Comparison Test because Σ b, diverges. n=1 n=1 ∞ Σan diverges by the Limit Comparison Test because b, diverges and lim an n=1 n=1 n→∞o bn ∞ exists and is finite. is infinite. ∞0 ∞0 an Σan converges by the Limit Comparison Test because Σ b, converges and lim n=1 n=1 n→∞o bn does not exist.
2 n² n43 Calculate the following limit. an lim n→∞ bn (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) Let an = an lim = n→∞ bn and b₁ = 1 n² ∞ Determine the convergence of Σ ant n=1 00 an converges by the Limit Comparison Test because [ b, converges and lim n=1 an n→∞ bn n=1 ∞0 ∞0 Σ an diverges by the Limit Comparison Test because Σ b, diverges. n=1 n=1 ∞ Σan diverges by the Limit Comparison Test because b, diverges and lim an n=1 n=1 n→∞o bn ∞ exists and is finite. is infinite. ∞0 ∞0 an Σan converges by the Limit Comparison Test because Σ b, converges and lim n=1 n=1 n→∞o bn does not exist.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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