What is the limit as x approaches-6 of (|x+6|)/(x+6) ?

The limit as x approaches-6 of (|x+6|)/(x+6) is diverges

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limit as x approaches-6 of (|x+6|)/(x+6)

x \to - 6 lim (\frac{∣ x + 6 ∣}{x + 6})

diverges

Solution steps

x \to - 6 lim (\frac{∣ x + 6 ∣}{x + 6})

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

then the limit does not exist

x \to - 6 + lim (\frac{∣ x + 6 ∣}{x + 6}) = 1

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6}) = - 1

= diverges

\frac{d}{d x} (3 x^{2} + 3 x + cos (x))

\int tan^{7} (x) sec^{3} (x) d x

\frac{d}{d x} (\frac{sin ( x )}{x ^{2} - 1})

y = 14 x sin (x), (\frac{π}{2}, 7 π)

x \to \infty lim (xx)

What is the limit as x approaches-6 of (|x+6|)/(x+6) ?
The limit as x approaches-6 of (|x+6|)/(x+6) is diverges