MathProblemsBank

2.1.60 Calculation of Limits

Condition: Find the limits of functions. a) \ (\ lim _ {x \ rightarrow \ infty} \ left (\ frac {x-3} {x+2} \ right)^{x} \), b) \ (\ lim _ \ rightarrow 0} \ frac {\ sqrt {x}-\ sqrt [3] {x}} {\ sqrt [3] {x {2}}+\ sqrt [6] {x} \).

Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.