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Math Help - a limit problem

  1. #1
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    a limit problem

    lim (1-cos 2x) / 3x
    x->0

    i think the answer is 0, can someone explain how to solve this?
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  2. #2
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    Quote Originally Posted by viet View Post
    lim (1-cos 2x) / 3x
    x->0

    i think the answer is 0, can someone explain how to solve this?
    Rewrite as,

    (1-cos 2x) / (2x) * (2/3)

    Now the first factor is zero because of the famous limit,

    lim (x-->0) (1-cos 2x)/2x =0
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