- #1
math8
- 160
- 0
does {fn} converge uniformly? fn(x)=nx^2/1+nx
I can see that fn converges pointwise to f(x)=x. I know, for epsilon>0, I need to find N st for n >or equal to N, |fn(x)-f(x)|<epsilon.
|fn(x)-f(x)|=x/1+nx but then I am stuck.
I can see that fn converges pointwise to f(x)=x. I know, for epsilon>0, I need to find N st for n >or equal to N, |fn(x)-f(x)|<epsilon.
|fn(x)-f(x)|=x/1+nx but then I am stuck.