What is the limit as x approaches 0 of 9/x-9/(|x|) ?

The limit as x approaches 0 of 9/x-9/(|x|) is diverges

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limit as x approaches 0 of 9/x-9/(|x|)

x \to 0 lim (\frac{9}{x} - \frac{9}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{9}{x} - \frac{9}{∣ x ∣})

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

then the limit does not exist

x \to 0 + lim (\frac{9}{x} - \frac{9}{∣ x ∣}) = 0

x \to 0 - lim (\frac{9}{x} - \frac{9}{∣ x ∣}) = - \infty

= diverges

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What is the limit as x approaches 0 of 9/x-9/(|x|) ?
The limit as x approaches 0 of 9/x-9/(|x|) is diverges