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Theorem 3: If< S, >converges to l, ther any subsequence of< S,>also comverges to l.

Theorem 3: If< S, >converges to l, ther any subsequence of< S,>also comverges to l.

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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Theorem 3

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intervals have no real number in common. Hence our assumption is wrong and thus the sequence cannot converge to more than one limit. Theorem 3: If< S, >converges to l, ther any subsequence of < s, > also comverges to l. Then by definition of
Transcribed Image Text:intervals have no real number in common. Hence our assumption is wrong and thus the sequence cannot converge to more than one limit. Theorem 3: If< S, >converges to l, ther any subsequence of < s, > also comverges to l. Then by definition of
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