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- #1

(comparison theorems i.e. x

^{b}= little-o (e

^{ax}) ; a,b > 0)

Is there any way that I am overlooking to evaluate the convergence of sequences?

My question arose when considering the problem

{f(n)} = n

^{2}/ (n+1) - (n

^{2}+ 1) / n ,

which I thought to converge to 0 while it actually converges to -1.