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Infinite Limit of a Complex Integral

  1. Dec 8, 2011 #1
    The problem is as follows:

    lim[itex]_{n\rightarrow\infty}[/itex] [itex]\int^{1}_{0}[/itex]√(1+n[itex]^{2}[/itex]x[itex]^{2n}[/itex])


    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. jcsd
  3. Dec 8, 2011 #2
    How about start by analyzing the limit:

    [tex]\lim_{n\to\infty} n^2 x^n,\quad 0<x<1[/tex]
     
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