Proving the sequence $a_n=frac{ln(n+7)}{n}$ converges

As the title says, I'm trying to prove that the sequence

$$a_n=\dfrac{\ln(n+7)}{n}$$ converges. I'm trying to use the squeeze theorem and l'hopitals rule, but I'm not making any progress. I just ran a quick simulation and it seems that $a_n$ converges to $0$.

How do I go about proving this?