2.1.52 Calculation of Limits
Condition: Find the limits: a) \ (\ lim _ {x \ rightarrow \ infty} \ left (\ frac {2 x+3} {2 x+4} \ right)^{x+5} \) \ b) \ (\ lim {x \ riezhtarroll 0} \ left (\ frac {\ arcsin x} {2} \ cdot \ cot \ frac {\ pi x} {2} \ right) \).
Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.