Find the limit $‎{\lim\limits_{n\to\infty}}(x \log(n^2+a^2) + \sum\limits_{k=1}^n \log(k^2+a^2) -‎ ‎\log((k+x)^2+a^2))‎$‎

Question

I've been stuck with calculating the limit of the following problem. Can you help?

$‎‎\displaystyle{\lim_{n\to\infty}}(x \log(n^2+a^2) + \sum_{k=1}^n\log(k^2+a^2) -‎ ‎‎\log((k+x)^2+a^2))‎$,‎

for $a>0$ and $x\geq 1$.