Compute the limit: $\lim_{x\to \infty}x\ \log\left(\frac{x+c}{x-c}\right)$ Does anyone know how o compute the following limit?
$$\lim_{x\to \infty}x\ \log\left(\frac{x+c}{x-c}\right)$$
I tried to split it up as follows:
$\lim_{x\to \infty}\left[x\ \log(x+c)-x\ \log(x-c)\right]$ but still this is indeterminate form of type $\infty-\infty$. Any thoughts please?

Hint; Let $t=\frac1x$${}{}{}{}{}{}{}{}{}{}{}{}{}{}{}{}{}{}$
