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 0

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

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

0

Solution steps

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

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to 0 - lim (0)

x \to a lim c = c

= 0

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\frac{d}{d x} (e^{4 e^{x}})

\int \frac{1}{x x ^{4} + 1} d x

\int \frac{2 x}{16 x ^{4} - 9} d x

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 0