Imagine I have this limit:
$\lim_{x\to 0}\frac{\ln(1+2x)}x$
Using the L'Hospital's rule the result is $2$.
Using this result is it possible to calculate
$\lim_{n\to \infty}\ n\ln\bigg(1+\frac{4}{\sqrt{n}}\bigg) \quad ?$
Sorry if this is an easy question, but many years have passed since I've learned calculus.