Question 82
Let $f : [0, 2] \to \mathbb{R}$ be a continuous function. Compute
$$
\lim_{t \to 0} \int_{0}^{1} \frac{f(x+t) - f(x)}{t} \, dx.
$$
$$
\lim_{t \to 0} \int_{0}^{1} \frac{f(x+t) - f(x)}{t} \, dx.
$$
MathNet 2016-part-04 — 184 problems (EN–VI) Question 82
Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)