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受欢迎的微积分 >

limit as x approaches 1 of (sqrt(17-x^2)-4)/(x-1)

解答

x \to 1 lim (\frac{17 - x ^{2} - 4}{x - 1})

解答

- \frac{1}{4}

+1

十进制

- 0.25

求解步骤

x \to 1 lim (\frac{17 - x ^{2} - 4}{x - 1})

乘以

17 - x^{2} - 4

的共轭根式

: \frac{- x ^{2} + 1}{17 - x ^{2} + 4}

= x \to 1 lim \frac{\frac{- x ^{2} + 1}{17 - x ^{2} + 4}}{x - 1}

化简

\frac{\frac{- x ^{2} + 1}{17 - x ^{2} + 4}}{x - 1} : - \frac{x + 1}{- x ^{2} + 17 + 4}

= x \to 1 lim (- \frac{x + 1}{- x ^{2} + 17 + 4})

代入值

x = 1

= - \frac{1 + 1}{- 1 ^{2} + 17 + 4}

化简

- \frac{1 + 1}{- 1 ^{2} + 17 + 4} : - \frac{1}{4}

= - \frac{1}{4}

作图

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