Look at the sequence of functions
Let , . Then which converges to as , but
Hence the sequence is not equicontinuous. Hope this helps!
Hi, I've been working on:
Construct a bounded sequence of continuous functions
Can such a sequence be equicontinuous?
So far I have the example that but I don't know how to handle the equicontinuity. I know this particular family of functions does not have a uniformly convergent subsequence so it can't be equicontinuous, but I don't know how to rigorously prove it. Any help would be much appreciated!