 #1
 26
 0
Homework Statement
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.
Homework Equations
[tex]\lim_{x\to x_0} (f(x))^n = (\lim_{x\to x_0} f(x))^n[/tex]
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.
Attachments

100.4 KB Views: 151
Last edited: