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

f (x) = 16 - 7 e^{x}

\int sin (a) x d x

\frac{1}{s ^{2} + 3 s + 2}

\frac{d}{d x} (4 sec (5 x))

f (t) = \frac{t ^{2}}{t ^{3} + 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