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Math Help - Finding limits...

  1. #1
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    Finding limits...

    <br />
\lim_{x \to 0} {{tan3x}} / {{sin8x}}<br />

    Can I take the 3/8 out and just multiply it at the end? In any case, I can't find the limit!

    I know <br />
\lim{x /to 0} {{sinx}} / {{x}} = 1<br />
but I can't figure out how to get it to work out in this problem...

    Also, where can I learn the proper math notation (ie \lim_{x \to 0} {{tan3x}} )?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by tom ato View Post
    <br />
\lim_{x \to 0} {{tan3x}} / {{sin8x}}<br />

    Can I take the 3/8 out and just multiply it at the end? In any case, I can't find the limit!

    I know <br />
\lim{x /to 0} {{sinx}} / {{x}} = 1<br />
but I can't figure out how to get it to work out in this problem...

    Also, where can I learn the proper math notation (ie \lim_{x \to 0} {{tan3x}} )?
    I'll help you to a certain extent...

    \lim_{x\to0}\frac{\tan(3x)}{\sin(8x)}=\lim_{x\to0}  \frac{\displaystyle\frac{\sin(3x)}{\cos(3x)}}{\sin  (8x)}=\lim_{x\to0}\frac{\sin(3x)}{\sin(8x)}\cdot\l  im_{x\to0}\frac{1}{\cos(3x)}=\lim_{x\to0}\frac{\si  n(3x)}{\sin(8x)}

    Now, try to incorporate \lim_{x\to0}\frac{\sin x}{x} into this limit.

    Can you take it from here??
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