1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Limit question
  1. Limit question ! (Replies: 2)

  2. Limit question (Replies: 10)

  3. Limits question (Replies: 6)

  4. Limit question (Replies: 3)

  5. Limits question (Replies: 5)

Loading...