Calculate the limit. lim (–1)"n³ n-00 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) lim (–1)"n = n-00 Use this limit to determine if the series >(-1)"n’ converges or diverges. n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Calculate the limit.
lim (–1)"n³
n-00
(Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)
lim (-1)"n
n00
Use this limit to determine if the series >(-1)" n' converges or diverges.
n=1
Does the series converge or diverge?
Since the limit is 0, the series converges by the nth Term Divergence Test.
Since the limit does not exist, the series diverges by the nth Term Divergence Test.
Since the limit is infinite, the series diverges by the nth Term Divergence Test.
Since the limit is finite and nonzero, the series diverges by the nth Term Divergence Test.
O O O O
Transcribed Image Text:Calculate the limit. lim (–1)"n³ n-00 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) lim (-1)"n n00 Use this limit to determine if the series >(-1)" n' converges or diverges. n=1 Does the series converge or diverge? Since the limit is 0, the series converges by the nth Term Divergence Test. Since the limit does not exist, the series diverges by the nth Term Divergence Test. Since the limit is infinite, the series diverges by the nth Term Divergence Test. Since the limit is finite and nonzero, the series diverges by the nth Term Divergence Test. O O O O
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