Is {3n/(3n-1)} n=1 to infinity, a convergent sequence in R with the usual metric dR(x,y) = abs(x-y)?

Write out the first five terms of the sequence with, In(n) determine whether the sequence n+1 n=1 converges, and if so find its limit. In(n) Enter the following information for an = n+1 · аз a4 a5 In(n) lim n→00 n +1 |||| ||

The sequence {(-1)" cos(n²)}, has a convergent subsequence. True False

Prove {(8n-5)/n} n=1 to infinity, is a Cauchy sequence in R with the usual metric dR(x,y) = abs(x-y)