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

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

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

x \to 2 lim (\frac{1}{∣ 2 - x ∣})

\infty

Solution steps

x \to 2 lim (\frac{1}{∣ 2 - x ∣})

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}{∣ 2 - x ∣}) = \infty

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

= \infty

a re a y = - x^{2} + 8 x - 12, y = x^{2} - 8 x + 18, x = 3 x = 6

t an g e n t f (x) = 6 x^{2} + 4 x - 7, - 3

\int \frac{( arcsin ( \frac{x}{3} ) ) ^{2}}{9 - x ^{2}} d x

\frac{\partial}{\partial y} ((x - y)^{5})

\int (e - x - e^{2}) (e x + e - 5) d x

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