2.1.79 Calculation of limits
condition: Find the limits of the sequences: a) \( \lim _{n \rightarrow \infty}\left(\sqrt{n^{2}+4 n}-\sqrt{n^{2}+n}\right) \), b) \( \lim _{n \rightarrow \infty}\left(\frac{n}{1+n^{2}}\right)^{n^{2}} \)
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.