What is the limit as x approaches 5 of (|5-x|)/(5-x) ?

The limit as x approaches 5 of (|5-x|)/(5-x) is diverges

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limit as x approaches 5 of (|5-x|)/(5-x)

x \to 5 lim (\frac{∣ 5 - x ∣}{5 - x})

diverges

Solution steps

x \to 5 lim (\frac{∣ 5 - x ∣}{5 - x})

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

then the limit does not exist

x \to 5 + lim (\frac{∣ 5 - x ∣}{5 - x}) = - 1

x \to 5 - lim (\frac{∣ 5 - x ∣}{5 - x}) = 1

= diverges

\frac{\partial}{\partial x} (e^{x + 6 y})

ln (x^{2} + 2 x) (x^{4} + 3 x^{2})^{5}

\frac{d}{d x} (12 - 3 x^{2})

x \to 0 lim (\frac{tan ( x ^{2} )}{x})

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

What is the limit as x approaches 5 of (|5-x|)/(5-x) ?
The limit as x approaches 5 of (|5-x|)/(5-x) is diverges