(1) Limit of a sequence is unique if it exists. (2) If limn→∞an = L, then limno 2n+1 = L . (3) A sequence an converges to 0 if and only if the sequence of absolute values an converges to 0.
(1) Limit of a sequence is unique if it exists. (2) If limn→∞an = L, then limno 2n+1 = L . (3) A sequence an converges to 0 if and only if the sequence of absolute values an converges to 0.
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
Write true if the statement is correct or false otherwise, and explain.

Transcribed Image Text:(1) Limit of a sequence is unique if it exists.
(2) If limn→∞ an = L, then limno a2n+1 = L.
(3) A sequence an converges to 0 if and only if the sequence of
absolute values an converges to 0.
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