What is the limit as x approaches 2 of 1/(|x-2|) ?

The limit as x approaches 2 of 1/(|x-2|) is infinity

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limit as x approaches 2 of 1/(|x-2|)

x \to 2 lim (\frac{1}{∣ x - 2 ∣})

\infty

Solution steps

x \to 2 lim (\frac{1}{∣ x - 2 ∣})

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

then

x \to a lim f (x) = L

x \to 2 - lim (\frac{1}{∣ x - 2 ∣}) = \infty

x \to 2 + lim (\frac{1}{∣ x - 2 ∣}) = \infty

= \infty

\int \frac{7 x ^{3} - 1}{x ^{2}} d x

\frac{\partial}{\partial x} (e^{x} sec^{2} (y))

f (x) = \frac{2 x}{x ^{2} + 9}

\int I n^{2} x d x

f (x) = 4 e^{5 x^{2}} (5 - x)^{7}

What is the limit as x approaches 2 of 1/(|x-2|) ?
The limit as x approaches 2 of 1/(|x-2|) is infinity