Let a, = e8/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES. (b) Determine whether the series a, converges. n=1 The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. The series converges because it's a multiple of a convergent p-series. The series diverges because it's a multiple of a divergent p-series. The series converges by Divergence Test since lim an=0. O The series diverges by Divergence Test since lim a, + 0. n- 00 O O O O O

Let a, = e8/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES. (b) Determine whether the series a, converges. n=1 The series is convergent because it's a convergent geometric series. O The series diverges because it's a divergent geometric series. The series converges because it's a multiple of a convergent p-series. The series diverges because it's a multiple of a divergent p-series. The series converges by Divergence Test since lim an=0. O The series diverges by Divergence Test since lim a, + 0. n- 00 O O O O O

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

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