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人気のある微分積分 >

limit as (x,y) approaches (pi, pi/2) of ysin(x-y)

解

(x, y) \to (π, \frac{π}{2}) lim (y sin (x - y))

解

\frac{π}{2}

+1

十進法表記

1.57079 \dots

解答ステップ

(x, y) \to (π, \frac{π}{2}) lim (y sin (x - y))

値を挿入する

(x, y) = (π, \frac{π}{2})

= \frac{π}{2} sin (π - \frac{π}{2})

簡素化

\frac{π}{2} sin (π - \frac{π}{2}) : \frac{π}{2}

= \frac{π}{2}

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