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(c) If lim |an+1| = 1 then then > Jan| is convergent. |anl n=1 00 (d) >lan| converges then > ang converges where (an) is any subsequence of (am) n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1· If On converges then an converges. n=1

(c) If lim |an+1| = 1 then then > Jan| is convergent. |anl n=1 00 (d) >lan| converges then > ang converges where (an) is any subsequence of (am) n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1· If On converges then an converges. n=1

Advanced Engineering Mathematics
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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Decide if true or false. Justify statements that are false. Do not prove the ones that you believe to be true. Do (c) (d) & (e)
(c) If lim |an+1] 1 then then Jan| is convergent. |anl n=1 00 (d) > lan| converges then converges where (an) is any subsequence of (an). Ank n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1• 00 If On converges then An converges. n=1 n=1
Transcribed Image Text:(c) If lim |an+1] 1 then then Jan| is convergent. |anl n=1 00 (d) > lan| converges then converges where (an) is any subsequence of (an). Ank n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1• 00 If On converges then An converges. n=1 n=1
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