0 0 votes Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be continuous. Then which of the following statements implies that $f\left ( 0 \right )=0$? $\underset{n\rightarrow \infty }{lim}\int_{0}^{1}f\left ( x \right )^{n}dx=0.$ $\underset{n\rightarrow \infty }{lim}\int_{0}^{1}f\left ( x/n\right )dx=0.$ $\underset{n\rightarrow \infty }{lim}\int_{0}^{1}f\left ( nx\right )dx=0.$ None of the above. Calculus tifrmaths2018 calculus limits functions continuity + – soujanyareddy13 351 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
