Si la siguiente serie geométrica infinita converge, encuentra su suma. \( 1+\frac{3}{5}+\left(\frac{3}{5}\right)^{2}+\left(\frac{3}{5}\right)^{3} \ldots \) 1.5 2 25 2

Proporre un esempio di funzione \( g(x) \) tale che \[ \lim _{x \rightarrow+\infty} \frac{g(x)}{3 \log ^{2} x+1}=+\infty \]

asymptotes of \( f \).

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True

1) \( f(x)=\sqrt{\frac{2}{\sqrt[x]{e 6 x+1}}} \)

\( \lim _ { n \rightarrow + \infty } \frac { n ^ { 5 } + \sin n } { 3 ( \arctan n ) n ^ { 5 } } \)