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Math Help - Limit proof

  1. #1
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    Limit proof

    Could anyone give me some advice on this proof?

    prove that the limit as h goes to zero ((ab)^h-1)/h= limit as h goes to zero (a^h-1)/h+limit as h goes to zero (b^h-1)/h

    this may be easier sorry
    Last edited by ethandf06; April 25th 2013 at 08:13 PM.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Limit proof

    edit: I see this problem counts toward your grade...did your instructor say it is okay to get outside help?
    Last edited by MarkFL; April 25th 2013 at 08:20 PM.
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  3. #3
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    Re: Limit proof

    we can go to the math center at our school for help. I was at the math center tell 9 when they closed and i have two problems left this being one of them. I doubt that he would care because the math center will just help you work through the problems.
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Limit proof

    I don't mean to be a stickler, but I find it strange that a professor would give graded problems and allow you to go to the math center to get assistance with them...to me this looks like a take home test problem. When I was a student, it was clearly understood that we were to get no assistance of any kind on our tests, take home or otherwise. The tests were meant as a means of assessing our ability to work problems without assistance.

    I just feel uncomfortable knowingly helping with a graded problem.
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  5. #5
    Junior Member Bradyns's Avatar
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    Re: Limit proof

    Two suggestions...

    1) L'H˘pital's rule.

    2) Show both sides have the same limit.
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  6. #6
    Forum Admin topsquark's Avatar
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    Re: Limit proof

    I think that covers about all we can do for a graded assignment.

    -Dan
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  7. #7
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    Re: Limit proof

    Quote Originally Posted by ethandf06 View Post
    Could anyone give me some advice on this proof?

    prove that the limit as h goes to zero ((ab)^h-1)/h= limit as h goes to zero (a^h-1)/h+limit as h goes to zero (b^h-1)/h

    this may be easier sorry
    here is a hint (if you know how to use it):

    For small \varepsilon we have e^\varepsilon=1+\varepsilon +O(\varepsilon^2).

    .
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