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Evaluate the following limits

  1. Mar 16, 2013 #1
    1. The problem statement, all variables and given/known data

    a. lim
    x→0

    (x^3 − 2x + 7)/(3x^2 − 3)


    b. lim
    x→-1

    1/(x+1)


    2. Relevant equations



    3. The attempt at a solution

    For a. I obtained a limit of 7/-3
    For b. the limit does not exist

    (I really unsure about this)
     
  2. jcsd
  3. Mar 16, 2013 #2

    Zondrina

    User Avatar
    Homework Helper

    They both look good. Could you elaborate on part (b) a little more though?
     
  4. Mar 16, 2013 #3
    Thanks.

    For b:

    lim 1/(x+1) = ∞ (+)
    x→-1 (+)

    lim 1/(x+1)= ∞ (-)
    x→-1 (-)

    Therefore, lim 1/(x+1)=undefined
    x→-1
     
  5. Mar 16, 2013 #4

    Dick

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    Science Advisor
    Homework Helper

    That's just fine.
     
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