What is the limit as x approaches 0 of+1/x+1/(|x|) ?

The limit as x approaches 0 of+1/x+1/(|x|) is diverges

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limit as x approaches 0 of+1/x+1/(|x|)

x \to 0 lim (+ \frac{1}{x} + \frac{1}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{1}{x} + \frac{1}{∣ 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{1}{x} + \frac{1}{∣ x ∣}) = \infty

x \to 0 - lim (\frac{1}{x} + \frac{1}{∣ x ∣}) = 0

= diverges

x \to 4 lim (x + 2)

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

f (x) = \frac{x}{ln ( x )}

n = 0 \sum \infty \frac{1}{n + 3 ^{n}}

(0.5) (10)

What is the limit as x approaches 0 of+1/x+1/(|x|) ?
The limit as x approaches 0 of+1/x+1/(|x|) is diverges