Let an In=1 be a sequence. a Prove that (D) Frove that (c) Prove that if limn→∞ an = L, then limn→∞ |an| = |L|. if and onl In →∞ (Un only if lim 200 land
Let an In=1 be a sequence. a Prove that (D) Frove that (c) Prove that if limn→∞ an = L, then limn→∞ |an| = |L|. if and onl In →∞ (Un only if lim 200 land
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
do only part c
![5. Let {an}1 be a sequence.
an
a Prove that
and only if limm-200 lat
(D) Prove that
n→∞ n
(c) Prove that if limn→∞ an = L, then limn→∞ |an| = |L|.
Lif and onl](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b5bd98-5396-465f-9f03-4e09ddfb412d%2F85061d38-89bd-4d25-894d-d0ef96e62463%2Fbziyp7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Let {an}1 be a sequence.
an
a Prove that
and only if limm-200 lat
(D) Prove that
n→∞ n
(c) Prove that if limn→∞ an = L, then limn→∞ |an| = |L|.
Lif and onl
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