Recent content by clueless...

when is it justified to do something like this \lim_{n\to\infty} e^{lnx^{1/n}} = e^{\displaystyle\lim_{n\to\infty}lnx^{1/n}} or something like this \lim_{n\to\infty} 2^{f(n)} = 2^{\displaystyle\lim_{n\to\infty}f(n)}} ? I am assuming that I can do something like this in both cases...

Hi, I am trying to decide what schools to apply to for PhD program in math. I will be getting my B.A. in math and physics in May (double major) from pretty a public university. I have had Real Analysis, Linear & Abstract Algebra, Complex Analysis, College Geometry, Differential Equations, some...