\( \left. \begin{array} { l | l | l | l | } { \lim _ { x \rightarrow 3 } ( \frac { x - 3 } { x ^ { 2 } - 9 } ) } \\ { x } & { - 2.99 } & { - 2.999 } & { 3 | 3.001 } \\ \hline f ( x ) & { } & { } & { } \\ \hline \end{array} \right. \)

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

19. (90-8 - 00 ) Ushbu \( f(x)=\frac{3}{4 \sqrt{16}} \) funksiyaniag bosh- lang ich funksiyasini toping. \( \begin{array}{lll}\text { A) } \frac{3}{2} \sqrt{x}+C & \text { B) } 3 \sqrt{x}+C & \text { C) } \frac{4}{3} \sqrt{x}+C \\ \text { D) }-\frac{3}{2} \sqrt{x}+C & \text { E) } 6 \sqrt{x}+C & \end{array} \)

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? \( \begin{array}{llll}\text { A) } 0 & \text { B) } 1 & \text { C) } 0,5 & \text { D) } 2 \\ \text { E) }-2\end{array} \)

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

\( f ( x ) = \int e ^ { 58379 } d x \)