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!

Homework Help: Limit of a function

  1. Jan 15, 2010 #1
    1. The problem statement, all variables and given/known data
    http://img23.imageshack.us/img23/9366/95631341.jpg [Broken]


    2. Relevant equations



    3. The attempt at a solution
    If the dot (-1,3) is gone, does the limit of x->-1 exist??
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jan 15, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Re: Limit

    How do you conclude lim x->(-1)+ is 3? And why do you think lim x->(-1) doesn't exist?
     
  4. Jan 15, 2010 #3
    Re: Limit

    Yeah, you should check E and F
    you got f wrong because e is wrong
    for e, why did you say that the answer is 3
    if the question was f(-1) = ?, then the answer would be 3
     
  5. Jan 15, 2010 #4
    Re: Limit

    no.., just ignore the answer
    I know x->(-1)+ is 1
    but is x->(-1) exist ,if the dot is gone?
     
  6. Jan 15, 2010 #5

    HallsofIvy

    User Avatar
    Science Advisor

    Re: Limit

    Yes. The limit as x goes to a from below or above, or the limit as x goes to a, all depend only on the values of f(x) for x close to a, not at a. The value of f(a) is irrelevant to [/math]\lim_{x\to a} f(x)[/math] which may exist even if f(a) does not exist.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook