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 diverges

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

x \to - 3 lim (\frac{∣ x + 3 ∣}{x + 3})

diverges

Solution steps

x \to - 3 lim (\frac{∣ x + 3 ∣}{x + 3})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 3 + lim (\frac{∣ x + 3 ∣}{x + 3}) = 1

x \to - 3 - lim (\frac{∣ x + 3 ∣}{x + 3}) = - 1

= diverges

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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 diverges