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 1

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

x \to 3 lim (\frac{∣ x + 3 ∣}{x + 3})

1

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} : 1

= 1

\frac{d}{d x} (\frac{4}{x ^{4}} + \frac{1}{x} + 2)

x \to 0 lim ((1 + sin (3 x))^{\frac{1}{x}})

\frac{d}{d x} (\frac{π x ^{2}}{2})

\frac{d}{d x} ((1 + sin (x)) cos (x))

\frac{\partial}{\partial y} (3 x^{2} - 3)

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 1