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

f_{n}(x)= e^{-n*x}

Determine whether or not the sequence f_{n}converges pointwise for each x[tex]\geq[/tex]0

2. Relevant equations

when a sequence of functions converges pointwise, the following is satisfied.

f(x)=lim_{N->inf}f_{n}(x)

3. The attempt at a solution

I tried to graph it and I can see that the function shifts down closer and closer to y=0.

But, I can't really think of a mathematical proof here.

Thanks.

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# Homework Help: PDEs- pointwise convergence

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