1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Limit Problem
  1. Limit problem (Replies: 3)

  2. Limit Problems (Replies: 8)

  3. Limit problem (Replies: 4)

  4. Limit problem (Replies: 14)

  5. Limits problem (Replies: 4)