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How do you find the limit to this function?

lim as x approaches infinity: xsin(1/x)

1 Answer

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  • Anonymous
    1 decade ago
    Favorite Answer

    Use a substitution: x = 1/n

    Therefore, the limit can now become:

    lim n--> 0 1/n * sin(n)

    = lim n--> sin(n)/n

    This is a limit you should have learned in Calculus class already - it is equal to 1. Hope this helps!

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