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

解答

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

- 2

求解步骤

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

化简

\frac{x ^{2} - 1}{1 - x} : - x - 1

= x \to 1 lim (- x - 1)

代入值

x = 1

= - 1 - 1

化简

= - 2

t a y l or \frac{1}{x - 1}, 20

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