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Thread: limits

  1. #1
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    limits

    When x goes to 0 find
    limit of cosx+square root(1-cos(x/2))
    --------------------------
    sinx


    I used L'Hospital. But the equation became a mess. There must be a trick.
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  2. #2
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    Re: limits

    If the expression is ...

    $\dfrac{\cos{x}+\sqrt{1-\cos(x/2)}}{\sin{x}}$

    direct substitution yields 1/0, therefore the limit as $x \to 0$ does not exist
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  3. #3
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    Re: limits

    Many Thanks.
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