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Math Help - Simple limit

  1. #1
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    Simple limit

    \lim_{x \rightarrow -1^+}\frac{\pi -arccosx}{x+1}
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  2. #2
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    Re: Simple limit

    Looks to me like L'Hopital's rule will work here. The derivative of \pi- arccos(x) is -\sqrt{1- x^2} and, of course, the derivative of x+ 1 is 1.
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  3. #3
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    Re: Simple limit

    No, \displaystyle \begin{align*}\frac{d}{dx} \left[ \pi - \arccos{(x)} \right] = 0 - \left( -\frac{1}{\sqrt{1 - x^2}} \right) = \frac{1}{\sqrt{1 - x^2}} \end{align*}.
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    Re: Simple limit

    Oops! Forgot the "1/" part!
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    Re: Simple limit

    Thank you for helping!
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