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QUESTION
determine which of the sequences {an}, with an as give, are cauchy. explain . do not use theorem 2.9 which is in k, a sequence is cauchy if and only...
determine which of the sequences {an}, with an as give, are cauchy. explain . do not use theorem 2.5.9 which is in k, a sequence is cauchy if and only if it is convergent.(D) an= 1/2 + 1/6 +....+ 1/n(n+1)
A(n)=1/2+1/6+…………………………1/n(n+1)A(n+p)=1/2+1/6+…………………….1/n(n+1)+………..1/(n+p)(n+p+1)Now |A(n+p)-A(n)|=...