- #1

hth

- 26

- 0

## Homework Statement

Let f

_{n}(x) = 1/(nx+1) on (0,1) where x is a real number. Show this function does not converge uniformly.

## Homework Equations

## The Attempt at a Solution

I know why it is not uniformly convergent. Even though f

_{n}(x) goes to zero monotonically on the interval (0,1), it's not continuous on a compact interval. How would go about showing this formally/by example?