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Math Help - Difficult Limit

  1. #1
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    Difficult Limit

    Hello all!

    I just encountered this limit in my Calc homework, and had no idea as to what to do.

    <br /> <br />
\lim_{x \rightarrow 0} 2x^2\cot^2{7x}<br /> <br />

    Thanks so much for any help you'd be able to provide,

    Chikken
    Last edited by Chikken; September 9th 2009 at 03:12 PM.
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  2. #2
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    Quote Originally Posted by Chikken View Post
    Hello all!

    I just encountered this limit in my Calc homework, and had no idea as to what to do.

    \lim_{x\to 0}(x^2)tan^2(7x)<br /> <br />
    Is that it.
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  3. #3
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    No, sorry, I was having trouble with Latex until just now.

    It's updated properly.
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  4. #4
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    Can't you just convert it into:

    \lim_{x \rightarrow 0} 2x^2\frac{cos^2(7x)}{sin^2(7x)}

    and use l'hospital's rule?
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  5. #5
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    Ah....yeah, that worked, just had to apply L'Hopital's Rule twice, to the converted form of the limit.

    Came out to 2/49, but it was a simple enough calculation once I finally realized what I had to do haha.

    University calc is quite a bit more demanding than IBHL was at my school, and it's only the first two weeks lol.

    Thanks for the help, by the way!
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