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

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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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