What is the limit as x approaches 2 of (|x+2|)/(x+2) ?

The limit as x approaches 2 of (|x+2|)/(x+2) is 1

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limit as x approaches 2 of (|x+2|)/(x+2)

x \to 2 lim (\frac{∣ x + 2 ∣}{x + 2})

1

Solution steps

x \to 2 lim (\frac{∣ x + 2 ∣}{x + 2})

Plug in the value

x = 2

= \frac{∣ 2 + 2 ∣}{2 + 2}

Simplify

\frac{∣ 2 + 2 ∣}{2 + 2} : 1

= 1

x \to 4 lim (\frac{- 1}{x - 4})

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

t \to 0 lim (\frac{1}{t} - \frac{1}{t ^{2} - t})

x \to 0 lim (\frac{sin ( a ) x}{x})

What is the limit as x approaches 2 of (|x+2|)/(x+2) ?
The limit as x approaches 2 of (|x+2|)/(x+2) is 1