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Math Help - limit of trig function

  1. #1
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    Joined
    Mar 2010
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    limit of trig function

    im confused on this problem:

    Code:
    lim     tan(7x) 
    x->0    sin(3x)
    Would I change tan to sin/cos then cancel out the sin and try to evaluate?
    when i tried on my calc i got 7/3 and i'm confused
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  2. #2
    Super Member bigwave's Avatar
    Joined
    Nov 2009
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    honolulu
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    580

    Cool

    Quote Originally Posted by chaosrxn View Post
    im confused on this problem:

    Code:
    lim     tan(7x) 
    x->0    sin(3x)
    Would I change tan to sin/cos then cancel out the sin and try to evaluate?
    when i tried on my calc i got 7/3 and i'm confused
    <br />
\lim_{x \to 0}<br />
\frac{tan(7x)}{sin(3x)}<br />
\rightarrow<br />
\frac<br />
{7\frac{tan(7x)}<br />
{7x}}<br />
{3\frac{sin(3x)}{3x}}<br />
\rightarrow<br />
\frac{7(1)}{3(1)} \rightarrow \frac{7}{3}

    there probably is a better way to do this but this is all I can think of right now
    Last edited by bigwave; March 7th 2010 at 10:37 PM. Reason: latex
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  3. #3
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    Joined
    Mar 2010
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    Wow thanks, you just made my life easier, I've been going through my textbook trying to figure this out.
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