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Homework Help: Find the limit

  1. Jul 19, 2010 #1

    Find the limit:
    [tex] \lim_{x\to0}\frac{\sin x-x }{x^3} [/tex]
  2. jcsd
  3. Jul 19, 2010 #2


    Staff: Mentor

    What have you tried?
  4. Jul 19, 2010 #3
    lim[x->0] (sinx - x)/x^3 = lim [x->0] sinx/x3 - 1/x2
    but it's infinity - infinity!
  5. Jul 19, 2010 #4


    Staff: Mentor

    So that didn't do you any good.

    Do you know about L'Hopital's Rule?
  6. Jul 20, 2010 #5


    User Avatar
    Homework Helper

    Or the power series for sin x?
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