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Calculate-lim-x-1-1-pi-arccos-x-2-1-2-1-x-




Question Number 169191 by qaz last updated on 25/Apr/22
Calculate  :: lim_(x→−1^+ ) ((1/((π−arccos x)^2 ))−(1/(2(1+x))))=?
$$\mathrm{Calculate}\:\:::\:\underset{\mathrm{x}\rightarrow−\mathrm{1}^{+} } {\mathrm{lim}}\left(\frac{\mathrm{1}}{\left(\pi−\mathrm{arccos}\:\mathrm{x}\right)^{\mathrm{2}} }−\frac{\mathrm{1}}{\mathrm{2}\left(\mathrm{1}+\mathrm{x}\right)}\right)=? \\ $$

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