Calculus Examples

$lim_{x \to \infty} \frac{\ln (e^{3 x} + x)}{x}$

Step 1

Change the two-sided limit into a right sided limit.

$lim_{x \to \infty^{+}} \frac{\ln (e^{3 x} + x)}{x}$

Step 2

Because there are no values to the right of $\infty$ in the domain of $\frac{\ln (e^{3 x} + x)}{x}$ , the limit does not exist.

$Does not exist$