Recent content by steviet

Homework Statement The equations: uz - 2e^(vz) = 0 u - x^2 - y^2 = 0 v^2 - xy*log(v) - 1 = 0 define z (implicitly) as a function of (u,v) and (u,v) as a function of (x,y), thus z as a function f (x,y) Describe the role of the inverse and implicit function theorems in the above...

\sum_{n=1}^\infty \frac{1}{n\sqrt[n]{n}}\] Does this series converge?

I'm working on the limit of the sequence (Xn) = (n!)^(1/n) Pretty sure it diverges as n goes to infinity, but unsure how to show it. Any hint would ge greatly appreciated.