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

\int \frac{4 x ^{2} + 2}{( x ^{2} - 2 x + 2 ) ^{2}} d x

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

y = 7 - x^{2}

y = (1 - x) (x^{2} - 8)^{2}, (3, - 2)

\frac{d x}{d t} = - x - x^{2}

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