- #1

- 103

- 0

## Homework Statement

show if

also we know that x gets values from 0 to 1

## The Attempt at a Solution

for the pointwise I think its easy to show that limfn(x) as n->infinity is 0

but Im really stuck in uniform convergence

I know that fn converges uniformly to f if and only if for all ε>0 there is a natural number N so that for all n>=N |fn - f|<ε

if f(x) = 0

we get

now from this what can we do??

thanks in advance