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Math Help - Finding the limit for an exponential. Removing discontinuities!!!!???

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    Angry Finding the limit for an exponential. Removing discontinuities!!!!???

    LIMIT x -> 0+ sqrt(x) * e(sin(pi/x))
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    Re: Finding the limit for an exponential. Removing discontinuities!!!!???

    The exponential factor oscillates between 1/e and e, so the limit is simply 0.
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    fkf
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    Re: Finding the limit for an exponential. Removing discontinuities!!!!???

    Quote Originally Posted by kram19 View Post
    LIMIT x -> 0+ sqrt(x) * e(sin(pi/x))
    lim{x->0+} sqrt(x)*e^(sin(pi/x)) = lim{x->0+} sqrt(x)*e^(pi/x*sin(pi/x)/(pi/x)) = 0

    Since lim{x->0+} sin(pi/x)/(pi/x) = 0
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    Re: Finding the limit for an exponential. Removing discontinuities!!!!???

    Thank you fkf makes sense don't know why i didn't think of that.
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