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  • #65998
    Shreya Nair
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    Limits 2

    #66079
    Saumik Karfa
    Participant

    take $z=\frac 1x$ Then $z \to \infty $ as $x \to 0$

    then the given limit becomes :

    $\lim_{z \to \infty} \frac{z}{e^z} [\frac {\infty}{\infty}]$

    Now, $\lim_{z \to \infty} \frac{1}{e^z}  $ [using L'Hospital]

    $=0$

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