Question

sub 3 ex 1 putin ajutor

Answer 1

$\\ A) \:\ \:\ f'_{(x)} = (3x+e^x)' = 3 + e^x , x \in \mathbb{R} \\ \\ B) \:\ \lim _{x\to \:-\infty \:}\left(\frac{3x+e^x}{x}\right) =\lim _{x\to \:-\infty \:}\left(3+\frac{e^x}{x}\right) => \\ \\ \lim _{x\to \:-\infty \:}\left(3\right)+\lim _{x\to \:-\infty \:}\left(\frac{e^x}{x}\right) => 3+0 = \boxed{3}$