1 votes 1 votes Suppose $f_{n}(x)$ is a sequence of continuous functions on the closed interval $[0, 1]$ converging to $0$ point wise. Then the integral $\int_{0}^{1} f_{n}(x) \text{d}x$ converges to 0. Calculus tifrmaths2011 functions convergence + – makhdoom ghaya asked Dec 9, 2015 makhdoom ghaya 282 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.