limit as x approaches-9 of (9-|x|)/(9+x)

解答

x \to - 9 lim (\frac{9 - ∣ x ∣}{9 + x})

1

求解步骤

x \to - 9 lim (\frac{9 - ∣ x ∣}{9 + x})

当

x \to - 9

时,

x

为负. 因此

∣ x ∣ = - x

= x \to - 9 lim (\frac{9 - ( - x )}{9 + x})

化简

= x \to - 9 lim (1)

x \to a lim c = c

= 1

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