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L.sufiya Khanam posted an Question
October 10, 2020 • 12:24 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Give me an example for this theorem
Theorem: If the subsequences {a and {a of a sequence {a,) converge to the same limit 1, then the sequence {a,} converges to . Proof. Let &> 0 be given
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Srinath
![best-answer]()
Consider
= (-1)^n/n. Here, all the a(2n + 1) terms are negative, (increasing and bounded, converges to 0), and a(2n) is positive, (decreasing and bounded, converges to 0), where 0 is the limit point of .
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Kiran goswami Best Answer
see attachment