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  1. C

    Convergence of Sequence Does {An^2} converges => {An} converges? How to prove it?

    So choose sequence An^2 = [(-1)^n]^2 and the sequence An^2 converges to 1, but An is NOT convergent (divergent) sequence. Super! Thanks!
  2. C

    Convergence of Sequence Does {An^2} converges => {An} converges? How to prove it?

    Convergence of Sequence "Does {An^2} converges => {An} converges? How to prove it?" Does sequence {An^2} converges implies to sequence {An} converges? True or False. How to prove it? I kinda think it is false, but couldn’t think of any counterexample to directly proof it. So I try to use...
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