limit as x approaches 2+of (x-2)/(|x-2|)

解答

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

1

求解步骤

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

当

x \to 2 +

时,

x - 2

为正. 因此

∣ x - 2 ∣ = x - 2

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

化简

= x \to 2 + lim (1)

x \to a lim c = c

= 1

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