Topic
Q:
2. Hellar si \( f(x)=\left\{\begin{array}{l}\frac{3 a x^{2}-4}{4 x-7} \\ 4 x \text { si } x \geq 2 \\ 4 x<2\end{array}\right. \)
calcular valar de a el \( \lim _{x \rightarrow 2} f(x) \)
poro que exista.
Q:
ของ \( \lim _{x \rightarrow 2}\left(x^{2}+8 x-7\right) \)
Q:
\( \int _ { 0 } ^ { i } ( z - 1 ) e ^ { - z } d z = \)
Q:
Evaluate
\[ \ln \frac{1}{e^{8}} \]
Q:
Find the value of the logarithm.
\( \ln \) (1)
Q:
methid of corfficients to solve.
\( \frac{d^{2} y}{d t^{2}}+3 \frac{d y}{d t}+2 y=\cos t \) given when \( t=0 \),
\[ \begin{aligned} & y=0 \\ & \frac{c y}{d t}=0\end{aligned} \]
Q:
Hallar \( \lim _{x \rightarrow 2} F(x) \), si \( F(x)^{x}=\left\{\begin{array}{ll}\frac{x^{2}-4}{x+2} & \text { si } x<2 \\ x(6 x-12), 5 i x>2\end{array}\right. \)
Q:
(1) \( \operatorname{Lim}_{x \rightarrow-1} \frac{x+1}{\sqrt{6 x^{2}+3}+3 x}= \)
Q:
(i) \( \lim _{x \rightarrow 0} \frac{e^{x}-e^{\sin x}}{x-\sin x} \)
Q:
a. \( \int_{-2}^{3}\left(x^{2}+2\right) d x \)
\( \begin{array}{ll}\text { CTIVIDAD 17. Calcula las siguientes integrales definidas. } \\ \begin{array}{ll}\frac{-\pi}{2} & \text { ben }(x) d x \\ \text { e. } \int_{0}^{6}\left(3 x^{2}+2 x-1\right) d x \\ \int_{-3}^{3}\left(1+4 x-x^{2}\right) d x & \text { d. } \int_{4}^{5} \sqrt{2 x} d x\end{array}\end{array} \).
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