What is the limit as x approaches 3 of (|x-3|)/(x-3) ?

The limit as x approaches 3 of (|x-3|)/(x-3) is diverges

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limit as x approaches 3 of (|x-3|)/(x-3)

x \to 3 lim (\frac{∣ x - 3 ∣}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{∣ x - 3 ∣}{x - 3})

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

then the limit does not exist

x \to 3 + lim (\frac{∣ x - 3 ∣}{x - 3}) = 1

x \to 3 - lim (\frac{∣ x - 3 ∣}{x - 3}) = - 1

= diverges

\frac{d y}{d x} = cot (x)

f (x) = \frac{8}{3} x^{3} - 16 x^{2} + 24 x + 4

\frac{\partial}{\partial x} (3 + x)

y = e^{x}, at x = ln (2)

x \to 1 lim (5 - x)

What is the limit as x approaches 3 of (|x-3|)/(x-3) ?
The limit as x approaches 3 of (|x-3|)/(x-3) is diverges