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Limit Problem

  1. Sep 25, 2012 #1
    1. The problem statement, all variables and given/known data

    lim f(x+h)-f(x)/h f(x)=(x+1)^(1/2) ans:1/2(x+1)^(1/2)

    2. Relevant equations

    3. The attempt at a solution
    lim (x+h+1)^(1/2)-(x+1)^(1/2)/h lim (x+1)^(1/2)-(x+1)^(1/2)/h
    h→0 h→0

    Should the answer be D.N.E because the square roots cancel each other and leave 0/0
    Last edited: Sep 25, 2012
  2. jcsd
  3. Sep 25, 2012 #2
    [itex]\lim_{h \to 0} \frac{\sqrt{x+h+1}-\sqrt{x+1}}{h}[/itex]

    Have you tried multiplying the numerator and denominator by the conjugate of the numerator?
  4. Sep 25, 2012 #3


    Staff: Mentor

    No. This type of limit always is of the [0/0] indeterminate form.
  5. Sep 26, 2012 #4
    Figured it out
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