h) \( f(x)=(1-\ln x) /(1+\ln x) \)

Al calcular el \( \lim _{x \mapsto \frac{\Pi}{4}} \frac{\cos x-\sin x}{\cos ^{2} x} \) se obtiene: \( \begin{array}{l}\text { a. } \sqrt{2} \\ \text { b. } 1 \\ \text { c. } 2 / \sqrt{2} \\ \text { d. } \sqrt{2} / 2\end{array} \).

Al calcular el \( \lim _{x \rightarrow 0} \frac{\sin 4 x}{\tan x} \) se obtiene: a. 0 b. 4 c. \( 1 / 4 \) d. No existe

\( \left. \begin{array} { l } { \operatorname { si } F ( x ) = \frac { 2 x ^ { 2 } + 3 x } { x \rightarrow 3 } } \\ { \lim _ { x \rightarrow - 2 } } \end{array} \right. \)

Use polynomial long division to evaluate the integral of \( \frac{x^4 + 6x^3 + 4x^2 + 8}{x^2 + 2} \) for integration.

\( \lim _ { x \rightarrow \infty } \frac { e ^ { x } \cdot \operatorname { ch } ( 2 x ) } { \operatorname { sh } ( 3 x ) } \)