What is the limit as x approaches 2 of 3/(|x-2|) ?

The limit as x approaches 2 of 3/(|x-2|) is infinity

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limit as x approaches 2 of 3/(|x-2|)

x \to 2 lim (\frac{3}{∣ x - 2 ∣})

\infty

Solution steps

x \to 2 lim (\frac{3}{∣ 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{3}{∣ x - 2 ∣}) = \infty

x \to 2 + lim (\frac{3}{∣ x - 2 ∣}) = \infty

= \infty

y d x + (- 2 x - 2 y) d y = 0

3 x^{2} y^{^{'}} = 2 y (y - 3)

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

\int 8 e^{x} 9 + e^{x} d x

f (x) = \frac{x ^{7}}{7} - \frac{7}{x ^{7}}, at x = - 1

What is the limit as x approaches 2 of 3/(|x-2|) ?
The limit as x approaches 2 of 3/(|x-2|) is infinity