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Homework Help: Finding the Limit?

  1. Apr 12, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the limit-> 2 g(x)= (x^2-3) if x < 2
    3 if x=2
    cos(x-2) if x>2

    2. Relevant equations

    So, I know you basically ignore the limit at 2, and you need to check it from the right and left. So, you want the x^2-3 and cos(x-2) equations

    3. The attempt at a solution

    I plugged two in for x, in both of these equations (2^2-3)=1 and cos(2-2)=cos(0)=1

    So wouldn't the answer be 1?
  2. jcsd
  3. Apr 12, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper

    Yes, it would. Though you should be thinking 'the value of the functions approaches 1 as x->2' rather than saying 'I plugged in 2'.
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