# 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:

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