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

Find all intervals on which the sequence of functions

f_{n}(x) = x^{2n}/ [n + x^{2n}], n≥1, converges uniformly.

2. Relevant equations

3. The attempt at a solution

I think we'll need to compute the pointwise limit first.

For x=0 or x=1, the pointwise limit is 0.

But what is its pointwise limit for x>0?

Any help is appreciated!

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# Homework Help: Pointwise & Unifrom Convergence

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