Am I right in saying that if I have and

definied on is not uniform convergent to f(x) (the problem being near the 1)?

Thanks for any help

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- October 19th 2011, 02:56 AMhmmmmUniform Convergence
Am I right in saying that if I have and

definied on is not uniform convergent to f(x) (the problem being near the 1)?

Thanks for any help - October 19th 2011, 03:08 AMemakarovRe: Uniform Convergence
According to the uniform limit theorem, the uniform limit of a sequence of continuous functions is continuous, so you are right.

- October 19th 2011, 03:13 AMhmmmmRe: Uniform Convergence
Cool thanks (I have proved it from the definition, which is a lot longer, feel a bit foolish now for asking!) it is pointwise convergent to f(x) though right?

- October 19th 2011, 03:18 AMemakarovRe: Uniform Convergence
Yes.

Hint: To avoid <br/> in LaTeX formulas, remove all line breaks between [tex] and [/tex] (not LaTeX line breaks \\; just put the whole formula on one editor line). - October 19th 2011, 03:23 AMhmmmmRe: Uniform Convergence
Thanks very much for all the help (sorry about the poor LaTex and thanks for editing it)

- October 19th 2011, 03:25 AMemakarovRe: Uniform Convergence
Ha, it was Plato who edited it!