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Homework Help: Need help with Limit problem.

  1. Feb 7, 2013 #1
    Can someone help me find the limit of (5h/h(sqrt(25+5h)+5) as h approaches 0? I have tried everything and I can't seem to get an answer [Which is 1/2] other than 0...
  2. jcsd
  3. Feb 7, 2013 #2
    What kind of work have you done thus far? Show me some of your steps and we can help you understand where your error lies.

    $$\lim_{h\to 0} \frac{5h}{h\sqrt{25+5h}+5}$$

    Is this the problem you are referring to?
    Last edited: Feb 7, 2013
  4. Feb 7, 2013 #3
    Yea, except with quotations separating the h from everything. I am assuming you either have to distribute the h OR multiple the limit by the conjugation.
  5. Feb 7, 2013 #4
    Or before that cancel out the h on the bottom...
  6. Feb 7, 2013 #5
    Okay, so the problem is $$\lim_{h\to 0} \frac{5h}{h(\sqrt{25+5h}+5)}.$$

    In that case, this problem isn't too bad. The ##h## in the denominator is multiplied to everything else in the denominator, and so you can cancel it with the ##h## in the numerator. This should help. If I still have the problem wrong, please let me know.
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