What is the limit as x approaches 3 of 1/(|x-3|) ?

The limit as x approaches 3 of 1/(|x-3|) is infinity

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limit as x approaches 3 of 1/(|x-3|)

x \to 3 lim (\frac{1}{∣ x - 3 ∣})

\infty

Solution steps

x \to 3 lim (\frac{1}{∣ x - 3 ∣})

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

then

x \to a lim f (x) = L

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

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

= \infty

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

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

x \to \frac{2}{3} lim (\frac{3 x - 2}{3 x ^{2} - 11 x + 6})

\frac{\partial}{\partial z} (x y + yz + z x)

\frac{d}{d x} (x cos^{3} (x))

What is the limit as x approaches 3 of 1/(|x-3|) ?
The limit as x approaches 3 of 1/(|x-3|) is infinity