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

f(x)=e^x

g(x)=lnx

h(x)=x^x=e^xlnx

If f and g are continous prove h(x) is continious for x>0

2. Relevant equations

3. The attempt at a solution

Ok this confuses me, because I would think that it wouldn't be too bad too do if h(x)=f(g(x)). Maybe the book had a typo?

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# X^x=e^xlnx continuity

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