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Limit's Help

  1. Feb 11, 2009 #1
    2.) Evaluate the following limits, justifying your answers. If a limit does not exist explain why.

    a.) lim (x--> inf.) (3x^3 +cos x)/(sin x- x^3)

    b.) lim (x-->Pie(+)) (tan^-1 (1/(x-Pie)))/(Pie-x

    I have no idea, what do here please help me with these problems!
  2. jcsd
  3. Feb 11, 2009 #2


    Staff: Mentor

    For a, factor x^3 from both terms in the numerator and both terms in the denominator.
    For b, if I'm interpreting what you wrote correctly, the numerator is approaching pi/2 (note spelling -- the name of this Greek letter is pi, not pie), and the denominator is approaching 0, so the quotient is getting large without bound.
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