Hi! My problem is this: Find an example of , a sequence of functions on (continuous with domain and real-valued) such that: is NOT compact, be equicontinuous and pointwise bounded, and every subsequence uniformly convergent have the same limit (call him . In fact, may there's no subsequence uniformly convergent, and we aren't saying that every subsequence is uniformly convergent). I need to find a sequence that satisfy this conditions and NOT converges to f uniformly.

Thanks

Edit: I think that I don't need your help now =) With holds