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(Extra credit, 10 points) If {ak​}k=1∞​ is such that ∣ak+1​−ak​∣≤Mrk for some M>0 and 0

Posted: Tue Jul 12, 2022 12:40 pm

by answerhappygod

Extra Credit 10 Points If Ak K 1 Is Such That Ak 1 Ak Mrk For Some M 0 And 0 R 1 Show That This Sequence Con 1 (27.21 KiB) Viewed 21 times

(Extra credit, 10 points) If {ak​}k=1∞​ is such that ∣ak+1​−ak​∣≤Mrk for some M>0 and 0<r<1, show that this sequence converges. [Hint: Is that a Cauchy's sequence?]