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Math Help - [SOLVED] Evaluation of a limit

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    Member sinewave85's Avatar
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    [SOLVED] Evaluation of a limit

    Could someone explain to me how to properly evaluate the limit of this equation:

    \frac{x^2}{1 - \cos{x}}

    as x approaches 0 from the right? I know that the answer is 2 from testing values close to 0, but that won't be good enough for full credit.
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  2. #2
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    Quote Originally Posted by sinewave85 View Post
    Could someone explain to me how to properly evaluate the limit of this equation:
    \frac{x^2}{1 - \cos{x}}
    as x approaches 0 from the right? I know that the answer is 2 from testing values close to 0, but that won't be good enough for full credit.
     \frac{x^2}{1 - \cos x} = \frac{x^2}{1 - \cos x} \frac{1 + \cos x }{1 + \cos x } = \frac{x^2(1 + \cos x)}{1 - \cos^2 x } = \frac{x^2}{\sin^2 x }(1 + \cos x) Now do the separate limits.
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