Calcular os seguintes limites, usando a regra de La) $\lim _{x \rightarrow 0} \frac{2^{x}-3^{x}}{x}$ b) $\lim _{x \rightarrow 2} \frac{\operatorname{sen}(\pi x)}{2-x}$ c) $\lim _{x \rightarrow \pi / 2}(\sec (x)-\operatorname{tg}(x))$ d) $\lim _{x \rightarrow 0^{+}} x^{1 / \ln (x)}$ e) $\lim _{x \rightarrow 0^{+}}(x \ln (x))$ f) $\lim _{x \rightarrow(\pi / 2)^{-}} \operatorname{tg}(x)^{\operatorname{sen}(2 x)}$ g) $\lim _{x \rightarrow+\infty}\left(1+\frac{1}{x}\right)^{x}$ h) $\lim _{x \rightarrow 1 / 2^{-}} \frac{\ln (1-2 x)}{\operatorname{tg}(\pi x)}$ i) $\lim _{x \rightarrow-1} \frac{\sqrt[3]{1+2 x}+1}{x+\sqrt{2+x}}$

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