What is the limit as x approaches 7 of (|x-7|)/(x-7) ?

The limit as x approaches 7 of (|x-7|)/(x-7) is diverges

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limit as x approaches 7 of (|x-7|)/(x-7)

x \to 7 lim (\frac{∣ x - 7 ∣}{x - 7})

diverges

Solution steps

x \to 7 lim (\frac{∣ x - 7 ∣}{x - 7})

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

then the limit does not exist

x \to 7 + lim (\frac{∣ x - 7 ∣}{x - 7}) = 1

x \to 7 - lim (\frac{∣ x - 7 ∣}{x - 7}) = - 1

= diverges

What is the limit as x approaches 7 of (|x-7|)/(x-7) ?
The limit as x approaches 7 of (|x-7|)/(x-7) is diverges