The value of: \( \lim _{x \rightarrow \infty} \frac{10 x^{3}-12 x}{5+3 x^{2}-2 x^{3}} \) is: \( \begin{array}{llll}\text { (A) }-5 & \text { (B) }-2 & \text { (C) } 0 & \text { (D) } \infty\end{array} \)

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 للدالة التالية: \( f(x)=\int\left(e^{x}+3 x^{2}+2 x\right) d x \)

47. (99-4 32) \( y=\pi \sin \pi x+2 x-4 \) funksiyaning \( x= \) 1 bo'ganda giymati 3 ga teng bo'ladigan bosh- lang'ich funksiynsi \( x \) ning qanday qiymatida nolga aylanadi? \( \begin{array}{llll}\text { A) } 0 & \text { B) } 1 & \text { C) } 0,5 & \text { D) } 2 \\ \text { E) }-2\end{array} \)

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

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