(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f_{n}(x) = 0 if x [tex]\leq[/tex] n

= x-n if x[tex]\geq[/tex] n

Is f_{n}(x) uniformly convergent on [a,b]?

Is it uniformly convergent on R?

2. Relevant equations

3. The attempt at a solution

I think lim_{n -> infinity }f_{n}(x)= 0

However I do not know what sup_{x in [a,b]}|f_{n}(x)| would be, I think it could be 0 but I don't know how to show this.

I'm unsure about over R as well?

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# Homework Help: Uniform convergence

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