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

Show that

[tex]\lim_{n\to \infty} (x^n + y^n)^{\frac{m}{n}} = (max\{x,y\})^m\;\;\;\forall x,y > 0[/tex]

where [itex]max\{x,y\}[/itex] outputs the greater of the two.

2. Relevant equations

[tex]\lim_{x\to x_0} (f(x))^n = (\lim_{x\to x_0} f(x))^n[/tex]

3. The attempt at a solution

It's attached as a pdf file. I think I have the proof right, I would just like to know your opinions on how it is laid out. Is it too wordy, or too informal? I'm still not used to writing proofs in a way to convey information to other people, and I've heard that the only way to pick it up is through practice, so that's what I'm doing.

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# Homework Help: Limit of (x^n + y^n)^(m/n) n->infinity Proof

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