I'm stuck on a textbook exercise: given f is lbesgue integrable on , evalate

$\lim_{|h|\to\infty} \int_{\mathbb{R}^n} |f(x+h)+f(x)|\, {dx$

The related section proves that if f is lebesgue integrable on (ie. is in ) then $\lim_{|h|\to 0} \int_{\mathbb{R}^n} |f(x+h)-f(x)|\, {dx} = 0$ I'm failing to see how this might to be used (if at all) for the above.

Thanks for your help