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Math Help - Limits of trig functions

  1. #1
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    Limits of trig functions

    1. sin^3 (2x)/ sin^3 (3x) as x - 0
    2. 1-cosx/2x^2 as x -0
    3. sin (ax) / sin (bx) as x -0


    how do i go about these?
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  2. #2
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    Re: Limits of trig functions

    Hint: \displaystyle \begin{align*} \lim_{X \to 0}\frac{\sin{(X)}}{X} = 1 \end{align*} and \displaystyle \begin{align*} \lim_{X \to 0}\frac{\cos{(X)} - 1}{X} = 0 \end{align*}. See if you can manipulate your expressions so they look something like these.
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  3. #3
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    Re: Limits of trig functions

    am i tripping or are you seeing /displaystyle \being[align] etc
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Limits of trig functions

    Yes, there is a (hopefully) temporary problem with the rendering of LaTeX. Once this is resolved, you will see the code rendered into readable expressions.
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  5. #5
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    Re: Limits of trig functions

    The LaTeX is now rendering
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