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let-t-0-and-f-t-t-1-t-prove-that-the-sequence-S-n-k-1-n-f-k-n-2-converges-and-find-its-limit-

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Question Number 32335 by abdo imad last updated on 23/Mar/18
let t≥0 and f(t) =(t/( (√(1+t)))) .prove that the sequence S_n = Σ_(k=1) ^n f((k/n^2 )) converges and find its limit.
lett⩾0andf(t)=t1+t.provethatthesequenceSn=∑k=1nf(kn2)convergesandfinditslimit.

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