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

y^{^{''}} + (y^{^{'}})^{2} + 1 = 0

\int_{- 40}^{0} \frac{1}{9 - x} d x

y = 30 e^{- 0.0000323 x}

\frac{1}{8} x, 8 x, \frac{2}{x}

\int_{2}^{8} \frac{5}{4 - 3 x} d x

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