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

y = \frac{x ^{6}}{6} + \frac{1}{16 x ^{4}}

\int_{- 1}^{1} \frac{x ^{2}}{1 + x ^{6}} d x

\frac{cos ( x )}{e ^{x}}

\int (7 x^{2} - 4 x) e^{2 x} d x

x \to 1 lim (\frac{( x ^{5} - 1 )}{x ^{3} - 1})

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