What is the limit as x approaches 3-of (|x|-x)/(3-x) ?

The limit as x approaches 3-of (|x|-x)/(3-x) is 0

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limit as x approaches 3-of (|x|-x)/(3-x)

x \to 3 - lim (\frac{∣ x ∣ - x}{3 - x})

0

Solution steps

x \to 3 - lim (\frac{∣ x ∣ - x}{3 - x})

x

is positive when

x \to 3 -

. Therefore

∣ x ∣ = x

= x \to 3 - lim (\frac{x - x}{3 - x})

Simplify

= x \to 3 - lim (0)

x \to a lim c = c

= 0

x \to 2 lim (x + 7)

x \to 2 lim (2 x - 6)

x \to \frac{1}{2} lim (4 x (3 x + 4)^{2})

x \to 0 + lim (\frac{1}{ln ( x ^{2} )})

x \to 2 lim (4 x^{2} - 5 x + 3)

What is the limit as x approaches 3-of (|x|-x)/(3-x) ?
The limit as x approaches 3-of (|x|-x)/(3-x) is 0