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})

x + 2

is positive when

x \to - 2 +

. Therefore

∣ x + 2 ∣ = x + 2

= x \to - 2 + lim (\frac{x + 2}{x + 2})

Simplify

= x \to - 2 + lim (1)

x \to a lim c = c

= 1

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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