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Math Help - Proof of De l'H˘pital's rule

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    Proof of De l'H˘pital's rule

    A common way to proof De l'H˘pital's rule (for both function limits going to zero as x approaches point a) consists of "extending" the functions so they are defined in point a. Intuitively I can see why this extension is okay, but mathematically we're introducing and using a new assumption here - why is this allowed?
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    Senior Member AllanCuz's Avatar
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    Quote Originally Posted by dudyu View Post
    A common way to proof De l'H˘pital's rule (for both function limits going to zero as x approaches point a) consists of "extending" the functions so they are defined in point a. Intuitively I can see why this extension is okay, but mathematically we're introducing and using a new assumption here - why is this allowed?
    It's explained in the Zero over Zero proof: L'H˘pital's rule - Wikipedia, the free encyclopedia
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