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

Find the function that (x^n)/(1 + x^n) converges to as n goes to infinity, on the interval [0,2]

2. Relevant equations

3. The attempt at a solution

I've worked out the fact that on the interval [0,1) it converges to 0, and when x is 1 it converges to 1/2, but for the life of me I'm not sure what the first step of proving what it converges to on the (1,2] interval. hints?

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# Homework Help: Pointwise convergence of (x^n)/(1 + x^n)

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