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

7. Найти наибольшее и наименьшее значения функции \( f(x)=3 x^{3}-4 x+8 \) на \( [-1,1] \).

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

The cost to produce \( x \) items is modeled by \( C(x)=0.003 x^{2}+3.2 x+60 \) dollars and the revenue from selling \( x \) items is given by \( R(x)=6 x \) dollars. a. Find the marginal profit when 359 items are sold using the formula \( P(x+1)-P(x) \). (Round your answer to three decimal places.) b. Use the derivative to estimate the marginal profit when 359 items are sold. (Round your answer to three decimal places.)

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

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