2.1.60 Calculation of limits
Condition: Find the limits of the functions. a) \( \lim _{x \rightarrow \infty}\left(\frac{x-3}{x+2}\right)^{x} \), b) \( \lim _{x \rightarrow 0} \frac{\sqrt{x}-\sqrt[3]{x}}{\sqrt[3]{x^{2}}+\sqrt[6]{x}} \).
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.