4. \( \lim _{x \rightarrow-3} \frac{\sqrt{1}-x-2}{x+3} \) \begin{tabular}{l|l|l|l|l|l|}\( x \) & -3.1 & \( -3.01 \mid \) & -3.001 & -3 & -2.999 \\ \hline\( f(x) \) & \( -2.99 \mid \) & -2.9\end{tabular}

Find the limit value for the following function: \[ \lim _{n \rightarrow \infty} \frac{\sqrt{n}}{\sqrt{3 n-1}} \]

Check whether the differential equation: Is Exact or not? If yes, \( \frac{\text { find }}{\left(6 x^{2}+4 x y+y^{2}\right) d x+\left(2 x^{2}+2 x y-3 y^{2}\right) d y=0} \).

Find the value of integration for the following function أوجد قيمة التكامل للد الة التالية: \( f(x)=\int 70 x+x+9 d x \)

Find the value of integration for the following function أوجد قيمة التكامل للدالة التالية: \( f(x)=\int\left(e^{x}+3 x^{2}+2 x\right) d x \)

\( \operatorname { Lim } _ { n \rightarrow \infty } ( - 1 ) ^ { n } e ^ { x } = \)