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

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

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

x \to 6 lim (\frac{∣ 6 - x ∣}{6 - x})

diverges

Solution steps

x \to 6 lim (\frac{∣ 6 - x ∣}{6 - x})

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

then the limit does not exist

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

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

= diverges

\int_{0}^{\frac{π}{8}} tan (4 x) d x

\int arccos (1) d x

f (x) = \frac{8 x}{x ^{2} + 1}

y = x^{2} ln (x^{2})

\frac{d}{d x} (1 + x + 1)

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