I don't know what is with the subject of pointwise and uniform equicontinuity, pretty much all the material you can find online are either:
Proofs i.e. pointwise equicontinuity is uniform equicontinuity provided the domain is compact
No distinction made whatsoever between pointwise and uniform equicontinuity
Only used to prove Arzela Ascoli and that's the end of the conversation on equicontinuity
Can someone please provide a concrete example of a sequence of function that is pointwise equicontinuous but not uniform equicontinuous?
Or some examples of what pointwise equicontinuous sequences and some examples of uniform equicontinuous sequences? I hope I am not asking too much.
The only example I can think of is the trivial example: $f_n(x) = n$, but sequence is both pointwise and uniform equicontinuous so It doesn't really shine a light on the difference between the two concepts