\( \lim \frac { 3 n ^ { 3 } - 2 n + 1 } { 4 n ^ { 4 } + 2 n + 1 } \)

3. Предел \( \lim _{x \rightarrow \infty} \frac{3 x^{2}-5 x+6}{2 x^{2}+7 x-1} \) равен...

Calculate the volume of the solid formed by rotating the area between \( y = \sqrt{x} \) and \( y = 0 \) from \( x = 0 \) to \( x = 1 \) about the line \( y = -1 \) utilizing the washer method.

4) Show that \( \lim _{z \rightarrow} \) \( i z^{3}+i z-1 \) \( 2 z+3 i(z-i) \)

\( \lim _ { x \rightarrow 9 } ^ { 9 : 03 } ( \frac { \sqrt { x - 9 } } { \sqrt { x } - 3 } ) \)

\( \lim _ { x + \infty } [ \sqrt { x ^ { 2 } + 2 x } - ( x + 1 ) ] \)