Recently I found this question: Let $f$ be a continuous function on the interval $[-3,-\sqrt{2}]$.
Find $\displaystyle\lim_{n\to\infty} \frac{1}{n} \int_{-4n}^{-4n+\frac{1}{n}} f(\frac{t}{n}+1) dt$.
I am sure this has to do with the fact that $f$ is integrable and its Riemann sums but I don't know where to begin with. Any hints?