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If numerator is zero, then limit is infinite?

  1. Jun 15, 2009 #1
    please someone aware me
  2. jcsd
  3. Jun 15, 2009 #2
    lim x-> a (0/x) = 0


    lim x-> +/- infinity (0/x) = 0

    Since 0/x = 0 for all nonzero x
  4. Jun 15, 2009 #3
  5. Jun 15, 2009 #4


    Staff: Mentor

    But, if both the numerator and denominator are approaching zero, then all bets are off. The limit of this rational expression could be any real number or infinite.
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