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

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

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

x \to 3 lim (\frac{3 - x}{∣ 3 - x ∣})

diverges

Solution steps

x \to 3 lim (\frac{3 - x}{∣ 3 - x ∣})

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

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial x} (3 x e^{3 x y})

x \to - \infty lim (0^{x})

x \to 0 + lim (ln (5) sin (x))

\int_{4}^{16} \frac{1}{6 - x} d x

\frac{d y}{d x}, x y = 8

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