What is the limit as x approaches-5+of (|x+5|)/(x+5) ?

The limit as x approaches-5+of (|x+5|)/(x+5) is 1

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limit as x approaches-5+of (|x+5|)/(x+5)

x \to - 5 + lim (\frac{∣ x + 5 ∣}{x + 5})

1

Solution steps

x \to - 5 + lim (\frac{∣ x + 5 ∣}{x + 5})

x + 5

is positive when

x \to - 5 +

. Therefore

∣ x + 5 ∣ = x + 5

= x \to - 5 + lim (\frac{x + 5}{x + 5})

Simplify

= x \to - 5 + lim (1)

x \to a lim c = c

= 1

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What is the limit as x approaches-5+of (|x+5|)/(x+5) ?
The limit as x approaches-5+of (|x+5|)/(x+5) is 1