2.1.84 Calculation of Limits

Condition: calculate the limits of functions without using the means of differential calculus. a) \ (\ lim _ {x \ rightarrow \ infty} \ frac {-2 x^{2} +7 x+2} {x^{2} -5 x} \) \ (\ lim _ {x \ rightarrow 0.5-0} \ frac {2 x-1} {\ ln (0.5-x) \) c) \ \ (\ lim _ {x \ rightarrow 4} \ frac {\ arcsin (4-x)} {\ ln (x-3)} \) \ \ (\ x \ rifhtarRoW 0} \ left (1+3 x^{2} \ right)^{\ frac {1} {2 x^{2}}} \)