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Math Help - L hopital question

  1. #1
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    L hopital question

    Find the limit of (x + 0.5cosx) / (x - 0.5sinx)

    Wofram Alpha gives 1 as the answer but I don't know how it got that answer. Is there some kind of trick I'm supposed to use?

    limit - Wolfram|Alpha
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  2. #2
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    What is x approaching?
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  3. #3
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    \displaystyle \lim _{x \to \infty } \frac{{x + \frac{{\cos (x)}}{2}}}{{x - \frac{{\sin (x)}}{2}}} = \lim _{x \to \infty } \frac{{1 + \frac{{\cos (x)}}{{2x}}}}{{1 - \frac{{\sin (x)}}{{2x}}}} = 1
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