What is the limit as x approaches 0 of x/(|x|)+2 ?

The limit as x approaches 0 of x/(|x|)+2 is diverges

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limit as x approaches 0 of x/(|x|)+2

x \to 0 lim (\frac{x}{∣ x ∣} + 2)

diverges

Solution steps

x \to 0 lim (\frac{x}{∣ x ∣} + 2)

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

then the limit does not exist

x \to 0 + lim (\frac{x}{∣ x ∣} + 2) = 3

x \to 0 - lim (\frac{x}{∣ x ∣} + 2) = 1

= diverges

sin (2 θ)

\int \frac{e ^{2 x} + 2 e ^{x} + 1}{e ^{x}} d x

\frac{d}{d x} (csc (4 x))

y = 5 x - x^{2}, y = 2 x

\int \frac{5 x x}{1 + x ^{5}} d x

What is the limit as x approaches 0 of x/(|x|)+2 ?
The limit as x approaches 0 of x/(|x|)+2 is diverges