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

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

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

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

0

Solution steps

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

Plug in the value

x = 3

= \frac{∣ 3 - 3 ∣}{3 + 3}

Simplify

\frac{∣ 3 - 3 ∣}{3 + 3} : 0

= 0

3 t - t^{2} (0)

\frac{d}{d t} (5 t e^{- t})

\frac{\partial}{\partial y} (\frac{( x ^{2} )}{( x - y ) ^{2}})

\frac{d y}{d x} = \frac{x - 3}{y + 1}

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