Limits

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  • #65777
    Shreya Nair
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    limits

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    #65980
    Saumik Karfa
    Moderator

    It can easily be seen that $\tan^{-1}(\pi/3 +\sin x )$ is bounded and

    $\displaystyle\lim_{x \to \infty} \frac{x^{100} \ln x }{e^x} $ is $0$.  [using L’Hospital repeadly]

    Hence by (sandwich theorem) proved.

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