The function converges uniformly to on the interval .
Proof.
taking x=a
as
So can I take and then I have that:
is this correct or is it wildly off- uniform convergence is kind of killing me
thanks for any help
The function converges uniformly to on the interval .
Proof.
taking x=a
as
So can I take and then I have that:
is this correct or is it wildly off- uniform convergence is kind of killing me
thanks for any help
I don't quite understand what you're doing here, why are you choosing this ? Are you secretly plugging this in because it's the max, and you just omitted this? Give us more words, explaining your choices etc. and then we can help you decide of what you did is correct. A quick check: you should be proving that for every there exists such that where is the infinity norm. This 'looks' like what you're doing, but please fill in more holes.
The function converges uniformly to on the interval .
Proof.
taking x=a as this will be the max of the so if the max is less then epsilon then will be for all other values of x.
as
and as
and so:
So can I take and then I have that:
I think this is a bit better? Sorry about it being a bit of a mess I am a little confused by this. Thanks very much for the help
thanks for any help