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人気のある微分積分 >

limit as x approaches 6 of (2-sqrt(x-2))/(36-x^2)

解

x \to 6 lim (\frac{2 - x - 2}{36 - x ^{2}})

解

\frac{1}{48}

+1

十進法表記

0.02083 \dots

解答ステップ

x \to 6 lim (\frac{2 - x - 2}{36 - x ^{2}})

2 - x - 2

の共役で乗じる

\frac{- x + 6}{2 + x - 2}

= x \to 6 lim (\frac{\frac{- x + 6}{2 + x - 2}}{36 - x ^{2}})

簡素化

\frac{\frac{- x + 6}{2 + x - 2}}{36 - x ^{2}} : \frac{1}{( x - 2 + 2 ) ( x + 6 )}

= x \to 6 lim (\frac{1}{( x - 2 + 2 ) ( x + 6 )})

値を挿入する

x = 6

= \frac{1}{( 6 - 2 + 2 ) ( 6 + 6 )}

簡素化

\frac{1}{( 6 - 2 + 2 ) ( 6 + 6 )} : \frac{1}{48}

= \frac{1}{48}

グラフ

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