What is the limit as x approaches-9+of (|x+9|)/(x+9) ?

The limit as x approaches-9+of (|x+9|)/(x+9) is 1

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limit as x approaches-9+of (|x+9|)/(x+9)

x \to - 9 + lim (\frac{∣ x + 9 ∣}{x + 9})

1

Solution steps

x \to - 9 + lim (\frac{∣ x + 9 ∣}{x + 9})

x + 9

is positive when

x \to - 9 +

. Therefore

∣ x + 9 ∣ = x + 9

= x \to - 9 + lim (\frac{x + 9}{x + 9})

Simplify

= x \to - 9 + lim (1)

x \to a lim c = c

= 1

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What is the limit as x approaches-9+of (|x+9|)/(x+9) ?
The limit as x approaches-9+of (|x+9|)/(x+9) is 1