6.- Resuelve el siguiente límite * \( \operatorname{lí}_{x \rightarrow 2}\left(\frac{x^{2}-4}{x-2}\right) \) 4 3 2 5

2. \( \left\{x_{n}\right\} \) ketma-ketlikning yuqori va quyi limitlari topilsin. \( x_{n}=\left(1+\frac{1}{n}\right)^{n}(-1)^{n}+\sin \frac{n \pi}{4} \) 3. Limit hisoblansin. \( \lim \left(\sqrt{1+x+x^{2}}-\sqrt{1-x+x^{2}}\right) \)

Find the following indefinite integral \[ \int 9 x^{2} d x \]

(d) \( \lim _{n \rightarrow+\infty} \frac{\operatorname{sen}(1 / n)}{\operatorname{sen}(3 / n)} \)

\( \lim _ { m \rightarrow + \infty } \frac { t ^ { 2 } ( 1 | n ) } { 1 - \cos ( 1 / m ) } \)

Solve the differential equation \( \frac{dy}{dx} = 6y \) using separation of variables.