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Homework Help: Sin(3x)/sin(8x) help

  1. Sep 16, 2006 #1
    I'm trying to solve this problem

    lim(x->0) tan(3x)/sin(8x)

    using the formula lim(x->0) sinx/x = 1

    so i did the following

    tan(3x)/sin(8x)
    {sin(3x)/cos(3x)}/sin8x
    {1/cos(3x)} * {sin(3x)/sin(8x)}

    now I know the term {1/cos(3x)} becomes 1 when you apply the limit but I have no idea how to solve the second term which is {sin(3x)/sin(8x)}...

    can anyone please help

    Thanks
     
  2. jcsd
  3. Sep 16, 2006 #2
    Hint: Multiply and divide by 24x. ;)
     
  4. Sep 16, 2006 #3

    arildno

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    I'd rather expand the fraction with the factor 24x.
     
  5. Sep 16, 2006 #4
    got it... thanks guys
     
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