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limit as x approaches 0-of (x^2-x)/(|x|)

解答

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

解答

1

求解步骤

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

当

x \to 0 -

时,

x

为负. 因此

∣ x ∣ = - x

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

化简

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

= x \to 0 - lim (- x + 1)

代入值

x = 0

= - 0 + 1

化简

= 1

作图

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