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Lim t-> 0 t^3/tan^3(2t)

  1. Apr 8, 2009 #1
    lim t-> 0 ,t^3/tan^3(2t) , not seeing nay identiites to solve with, escpeted to solve not using l hospitols
     
  2. jcsd
  3. Apr 8, 2009 #2

    arildno

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    Well, you might try to rewrite this as:
    [tex]\lim_{t\to{0}}\frac{t^{3}}{\tan^{3}(2t)}=\lim_{t\to{0}}(\frac{t}{\sin(2t)})^{3}\cos^{3}(2t))=\lim_{t\to{0}}(\frac{1}{2})^{3}(\frac{2t}{\sin(2t)})^{3}\cos^{3}(2t))[/tex]
     
  4. Apr 8, 2009 #3
    still not seeing it
     
  5. Apr 8, 2009 #4

    Gib Z

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    Really? What are the limits of those terms individually?
     
  6. Apr 8, 2009 #5
    term containing sin(2t) 0/0 foo
     
  7. Apr 8, 2009 #6

    Gib Z

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    You've never learned [tex]\lim_{x\to 0} \frac{\sin x}{x} = 1[/tex] ?
     
  8. Apr 8, 2009 #7
    right, thanks
     
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