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    Application of L'Hopital's Rule

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    Graph the f(x) = e^2x - 1/x
    Verify the Limit x→0 f(x) meets the criteria for applying L'Hopital's Rule
    Find the Limit x→0 f(x)
    Explain why L'Hopital's Rule cannot be used to find the limit of Lim x→0 e^2x/x

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    Solution Preview

    for f(x) = (e^2x - 1)/x, if x goes to 0, then both e^2x - 1 and x go to 0. That is, ...

    Solution Summary

    The solution explains when L'Hopital's Rule works and how it works with examples.