2.1.61 Calculation of Limits
Condition: calculate the limits: 1) \ (\ lim _ {x \ rightarrow 2} \ frac {2^{x} -x^{2}} {(x-2)^{2} \) 2) \ (\ lim _ \ rightarrow 0} \ frac {\ arctan (2 x)-\ tan (2 x)} {x^{3}} \), 3) \ (\ lim _ {x \ rightarrow+\ infty} \ frac {x^{2}+2^}} {2 x^{3} -2} \)
Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.