4) \( y=\frac{x+\ln x}{\operatorname{tg} 2 x} \) \( d y-? \)

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. \( \lim \left(\sqrt{1+x+x^{2}}-\sqrt{1-x+x^{2}}\right) \)

\( \int _ { - \infty } ^ { \infty } x ^ { 4 } e ^ { - x ^ { 3 } } d x \)

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

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

Find differenthal equation of the primitue \( x y+x^{2} y+y^{2}=13 \)