Cu calculatorul (sagemath):
sage: limit( (n+1) * (n-1)^(1/(n+1)) - n * n^(1/n) , n=oo )
1
sage: limit( (n+1) * (n+1)^(1/(n+1)) - n * n^(1/n) , n=oo )
+Infinity
$$
\lim_{n \to \infty}
\left(
\ (n+1)(n+1)^{\frac{1}{n+1}}-n\cdot n^{\frac{1}{n}}\right)$$[/equation]
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