# Thread: [SOLVED] Uniform Convergence 2

1. ## [SOLVED] Uniform Convergence 2

Here's the definition I'm using for uniform convergence:

3. Please check this one also:

4. Here is first one.

The second one is easier.
There is a theorem that the uniform limit of continous functions is continous.
This limit function is not continous.
A contradiction (since all functions in the sequence are continous themselves).