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Math Help - Real Analysis - Functional Limits #3

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    Real Analysis - Functional Limits #3

    Using the ε-δ characterization of continuity, prove that:

    lim as x --> Pi of [[x]] = 3, where [[x]] denotes the greatest integer less than or equal to x.
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    Quote Originally Posted by ajj86 View Post
    Using the ε-δ characterization of continuity, prove that: lim as x --> Pi of [[x]] = 3, where [[x]] denotes the greatest integer less than or equal to x.
    Just take note that: \delta = \pi - 3\,,\,x \in \left( {\pi - \delta ,\pi + \delta } \right) \Rightarrow \quad \left\lfloor x \right\rfloor = 3.
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