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Homework Help: Limit question

  1. Nov 20, 2011 #1
    How can you tell if a limit does not exit or that it goes to infinity?

    example


    lim[itex]\underbrace{x\rightarrow}_{0}[/itex]([itex]\frac{\sqrt{x+1}}{x}[/itex])

    The x goes to 0


    The book says the limit is [itex]\infty[/itex] but if you take the left side limit you get -[itex]\infty[/itex] and if you take the right side of the limit you [itex]\infty[/itex]. So wouldnt this limit not exist, because you have two different limits?
     
  2. jcsd
  3. Nov 20, 2011 #2
    Yes, I agree with you. I think there's a typo somewhere.
     
  4. Nov 20, 2011 #3
    That's what I thought, thank you for looking at it.
     
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