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March 27, 2017

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What is lim (x -> 0) of (e^x) / x

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  • Calc - ,

    The limit of a quotient is the quotient of the limits.

    limit ( e ^ x ) / x as x -> 0 =

    [ limit ( e ^ x ) as x -> 0 ] / [ limit x as x -> 0 ] =

    1 / 0 which is undefined.

    limit ( e ^ x ) / x as x -> 0 = + OR - infinity

    OR

    limit ( e ^ x ) / x as x -> 0- = - infinity

    limit ( e ^ x ) / x as x -> 0+ = infinity

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