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Math Help - Limits of Trig. Functions

  1. #1
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    Limits of Trig. Functions

    I'm really, really awful at these, so any help would be greatly appreciated.


    1. limit sin^3x/(2x)^3 (as x --> 0)
    2. limit 4x^2 + 3xsinx/(x^2) (as x--> 0)
    3. limit 2cosx-2/3x (as x--> 0)
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  2. #2
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    Quote Originally Posted by alreadyinuse View Post
    1. limit sin^3x/(2x)^3 (as x --> 0)
    2. limit 4x^2 + 3xsinx/(x^2) (as x--> 0)
    3. limit 2cosx-2/3x (as x--> 0)
    1. \lim_{x\to0}\frac{\sin^3x}{8x^3}=\frac18\lim_{x\to  0}\left(\frac{\sin x}x\right)^3

    2. Factorice and split the limit.

    3. Use \lim_{x\to0}\frac{1-\cos x}x=0
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