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Let an = e4/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, en (b) Determine whether the series converges. n=1 O The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. O The series converges because it's a multiple of a convergent p-series. O The series diverges because it's a multiple of a divergent p-series. O The series converges by Divergence Test since lim a,=0. n- 00 O The series diverges by Divergence Test since lim a, * 0. n- 00

Let an = e4/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, en (b) Determine whether the series converges. n=1 O The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. O The series converges because it's a multiple of a convergent p-series. O The series diverges because it's a multiple of a divergent p-series. O The series converges by Divergence Test since lim a,=0. n- 00 O The series diverges by Divergence Test since lim a, * 0. n- 00

Calculus: Early Transcendentals
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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Let a, = e4/n. (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES. 00 (b) Determine whether the series o, converges. n=1 O The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. O The series converges because it's a multiple of a convergent p-series. O The series diverges because it's a multiple of a divergent p-series. O The series converges by Divergence Test since lim a,-0. n- 00 O The series diverges by Divergence Test since lim a, n- 00 + 0.
Transcribed Image Text:Let a, = e4/n. (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES. 00 (b) Determine whether the series o, converges. n=1 O The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. O The series converges because it's a multiple of a convergent p-series. O The series diverges because it's a multiple of a divergent p-series. O The series converges by Divergence Test since lim a,-0. n- 00 O The series diverges by Divergence Test since lim a, n- 00 + 0.
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