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

\int_{0}^{1} 6 (1 + x)^{7} d x

f (x) = (2 - x^{3})^{2}

\int (1 + \frac{1}{x} + \frac{1}{x ^{2}}) d x

(x, y) \to (0, 0) lim (x^{y})

x \to 2 lim (7 - 2 x)

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