# Thread: Can someone give an example on uniformly bounded sequence but not equicontinuous at 0

1. ## Can someone give an example on uniformly bounded sequence but not equicontinuous at 0

Can someone give an example on uniformly bounded sequence of continuous functions on B(0,1) but not equicontinuous at 0?

Thanks everyone.

2. Originally Posted by copyfriend
Can someone give an example on uniformly bounded sequence of continuous functions on B(0,1) but not equicontinuous at 0?
How about $f_n(x) = \sin nx$?