2.1.79 Calculation of Limits
Condition: Find the limits of 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.