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Limits and Direct Substitution

  1. Jun 27, 2011 #1

    Qube

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    Why wouldn't answer choice "C" be true as well?

    [PLAIN]http://i.min.us/idPNiK.png [Broken]

    2. Relevant equations

    I thought that you could use direct substitution on this limit.

    3. The attempt at a solution

    I did get answer choices A and B. For the limit to exist, both the left and right hand limits have to match up.
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Jun 27, 2011 #2

    SammyS

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    f(0) might not be defined or it may be that f(0)≠2. In other words, f(x) might have a removable discontinuity at x=2.
     
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