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人気のある微分積分 >

limit as x approaches 9 of ((x^2-81))/(3-sqrt(x))

解

x \to 9 lim (\frac{( x ^{2} - 81 )}{3 - x})

解

- 108

解答ステップ

x \to 9 lim (\frac{x ^{2} - 81}{3 - x})

分母を有理化する

\frac{x ^{2} - 81}{3 - x} : - (x + 9) (x + 3)

= x \to 9 lim (- (x + 9) (x + 3))

値を挿入する

x = 9

= - (9 + 9) (9 + 3)

簡素化

- (9 + 9) (9 + 3) : - 108

= - 108

グラフ

人気の例

limit as x approaches 3 of-4x^3+2x+12

x \to 3 lim (- 4 x^{3} + 2 x + 12)

limit as x approaches 1 of (1-x)/(x^3-1)

x \to 1 lim (\frac{1 - x}{x ^{3} - 1})

limit as x approaches 0 of (12^x-13^x)/x

x \to 0 lim (\frac{1 2 ^{x} - 1 3 ^{x}}{x})

limit as x approaches 0 of (sin(10x))/(sin(8x))

x \to 0 lim (\frac{sin ( 10 x )}{sin ( 8 x )})

limit as x approaches 0 of (cos(x))^{(1/x)^2}

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