ving, prove that the given series converges. ak -k=1 1+ k³ar° ak 1+ak ak k=1 < 00.
ving, prove that the given series converges. ak -k=1 1+ k³ar° ak 1+ak ak k=1 < 00.
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Question
![Suppose that ak > 0 for all k e N and E ak < 0. For each of the
following, prove that the given series converges.
ak
( a ) ΣΕΙ
1+ k3ak
(b) Lk=1 1+ ak
Vak
(c) Ek=1 k
< 0o.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7f702c1-fdd3-4f90-9582-1ef087eac5a6%2Fce6f0aab-f830-4c09-8bc7-34f970ced29a%2F2lfrojp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that ak > 0 for all k e N and E ak < 0. For each of the
following, prove that the given series converges.
ak
( a ) ΣΕΙ
1+ k3ak
(b) Lk=1 1+ ak
Vak
(c) Ek=1 k
< 0o.
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