IIT JAM
L.sufiya khanam Asked a Question
October 10, 2020 6:53 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Give me an example for this theorem

n may 1 may not be t nay no be true TeOre Theorem: Every bounded sequence has a convergent subsequence. Proof: Let is bounded Case 1: When the ranaa af
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  • Vishal goswami Best Answer
    see attachment
    • cropped3733275483540647611.jpg
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  • Srinath thankyou
    Consider the sequence, (-1)^n. Clearly it is bounded, and it has two subsequences, <-1> and <1>.
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