What is the limit as x approaches 9 of 1/(|9-x|) ?

The limit as x approaches 9 of 1/(|9-x|) is infinity

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limit as x approaches 9 of 1/(|9-x|)

x \to 9 lim (\frac{1}{∣ 9 - x ∣})

\infty

Solution steps

x \to 9 lim (\frac{1}{∣ 9 - x ∣})

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

then

x \to a lim f (x) = L

x \to 9 - lim (\frac{1}{∣ 9 - x ∣}) = \infty

x \to 9 + lim (\frac{1}{∣ 9 - x ∣}) = \infty

= \infty

What is the limit as x approaches 9 of 1/(|9-x|) ?
The limit as x approaches 9 of 1/(|9-x|) is infinity