(4) Let{an}=i be a positive sequence which satisfies nan»15 an for all n 2 1. an (a) Prove that=1 converges (you can use any convergence test). an

(4) Let{an}=i be a positive sequence which satisfies nan»15 an for all n 2 1.<br>an<br>(a) Prove that=1 converges (you can use any convergence test).<br>an <<br>(b) Prove that<br>(n – 1)! for all n 2 1.<br>Given that a1 = 137 and e =<br>(for any r € R), find M so that an < M.<br>(c)<br>n=0<br>

Extracted text: (4) Let{an}=i be a positive sequence which satisfies nan»15 an for all n 2 1. an (a) Prove that=1 converges (you can use any convergence test). an < (b)="" prove="" that="" (n="" –="" 1)!="" for="" all="" n="" 2="" 1.="" given="" that="" a1="137" and="" e="(for" any="" r="" €="" r),="" find="" m="" so="" that="" an="">< m.="" (c)="" n="">

Jun 03, 2022

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(4) Let{an}=i be a positive sequence which satisfies nan»15 an for all n 2 1. an (a) Prove that=1 converges (you can use any convergence test). an

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