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

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

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

x \to 3 lim (\frac{3 - x}{∣ x - 3 ∣})

diverges

Solution steps

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

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

= diverges

\int (8 x + 1 - 9 e^{x}) d x

\frac{e ^{- s}}{s ^{2} + 3 s + 2}

\int \frac{e ^{- x}}{( 9 e ^{- 2 x} + 1 ) ^{\frac{3}{2}}} d x

1 - x^{2}

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{2}} - y^{2})

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