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Finding a limit without l'hopial

  1. Oct 22, 2011 #1
    1. The problem statement, all variables and given/known data
    lim x→2 ((sqrt(6-x)-2) / (sqrt(3-x) - 1)

    2. Relevant equations

    3. The attempt at a solution
    My daughter's grade 12 mathematics class is not yet using l'hopital, yet this question has been posed as a practice question. I can solve it readily with l'hopital, however without it I'm stumped. When I attempt by multiplying numerator and denominator by (sqrt(3-x) +1 ) predictably I get 0 for my troubles.
  2. jcsd
  3. Oct 22, 2011 #2


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