Evaluate- lim x- 2 1-sin 3 x 3cos 2 x

lim_x→π21 sin^3 x3cos^2 x #160; = lim_x→π2(1 sin x)(1 + sin^2 x + sin x)3(1 sin^2 x) #160; = lim_x→π2(1 sin x)(1 + sin^2 x + sin x)3(1 ...

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Evaluate: l...

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Evaluate: $lim x \to {\frac{π}{2}} \frac{1 - {sin}^{3} x}{3 {cos}^{2} x}$

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f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1 - {sin}^{3} x}{3 {cos}^{2} x}, i f x < \frac{π}{2} a, i f x = \frac{π}{2} \frac{b (1 - sin x)}{{(π - 2 x)}^{2}}, i f x > \frac{π}{2} \end{matrix}

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f (x) ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1 - {sin}^{3} x}{3 {cos}^{2} x}, i f x < \frac{π}{2} p, i f x = \frac{π}{2} i s c o n t i n o u s a t x = \frac{π}{2} \frac{q (1 - sin x)}{{(π - 2 x)}^{2}}, i f x > \frac{π}{2} \end{matrix}

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