if Fn(x) = x^(1/n) with Fn: [0,infinity) -> R
Find the pointwise limit of Fn(x)
this is what i have done:
x=0 Fn(x) -> 0
x!=0 Fn(x) -> 1
Is this correct... Im new to this so im not quite show about my answer
please Help
Do you mean how I arrived at my answer???
If so I used a theorem that states that a(1/n) -> 1 as n -> infinity where a is an element of R.
Sorry there is a second part to this question that is:
Does Fn converge uniformly on [0,1]
My answer is no since sup|x(1/n)| -> 1 as n->infinity
AND
Does Fn converge uniformly on [1/2,1]
My answer is the same as above
I seriously doubt this is correct
Could you please help with this one