Give an example of a uniformly convergent sequence of continuously differentiable functions such that is not uniformly continuous.

Just preparing for my exams in a few weeks. Need to know the answer to this one to have as an example. Just in case!

Printable View

- January 11th 2011, 12:09 PMgarunasA Question on Uniform Convergence
Give an example of a uniformly convergent sequence of continuously differentiable functions such that is not uniformly continuous.

Just preparing for my exams in a few weeks. Need to know the answer to this one to have as an example. Just in case! - January 11th 2011, 12:26 PMFernandoRevilla
Choose:

Fernando Revilla - January 11th 2011, 12:28 PMgarunas
Many many thanks. Simple when you know how isn't it??

- January 11th 2011, 12:32 PMFernandoRevilla
No wonder. It is a typical counter example. :)

Fernando Revilla - January 11th 2011, 12:39 PMemakarov
- January 11th 2011, 12:46 PMFernandoRevilla
I supposed that is a typo and he meant " ... not uniformly convergent".

Fernando Revilla - January 11th 2011, 01:30 PMgarunas
Yeah sorry I am a bit new to Latex