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
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
Any wrong answer, i"ll downvote.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59b08461-052e-4a41-a04a-da4dd3016f3d%2F4b20fefd-425a-403b-9b8a-6868327aa354%2Farv96xo_processed.jpeg&w=3840&q=75)
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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