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Showing posts with label uniform continuous. Show all posts
Showing posts with label uniform continuous. Show all posts

Saturday, April 18, 2015

Uniform continuity

Examine if the series
$$\sum_{n=1}^{\infty}\frac{x^n}{1+x^n}, \;\; x \in (-1, 1)$$

converges uniformly on $(-1, 1)$.

Solution: