IIT JAM
L.sufiya khanam Asked a Question
October 10, 2020 6:54 ampts 30 pts
  • 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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  • Vishal goswami Best Answer
    see attachment
    • cropped76283544608818444.jpg
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  • Srinath thankyou
    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), whe...
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