Homework Help: Infinite Limit of a Complex Integral

1. Dec 8, 2011

Alphaman

The problem is as follows:

lim$_{n\rightarrow\infty}$ $\int^{1}_{0}$√(1+n$^{2}$x$^{2n}$)

My issue is that I'm unsure as to where to start. We just went over DE's in my calculus class, so I assume that they are relevant, but we never attempted integrals that weren't explicitly defined. Any help would be much appreciated!

2. Dec 8, 2011

jackmell

How about start by analyzing the limit:

$$\lim_{n\to\infty} n^2 x^n,\quad 0<x<1$$