What is the limit as x approaches 0 of (4x)/(|x|) ?

The limit as x approaches 0 of (4x)/(|x|) is diverges

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limit as x approaches 0 of (4x)/(|x|)

x \to 0 lim (\frac{4 x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{4 x}{∣ 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{4 x}{∣ x ∣}) = 4

x \to 0 - lim (\frac{4 x}{∣ x ∣}) = - 4

= diverges

y^{^{''}} - 8 y^{^{'}} = 5 t

y^{^{''}} + 4 y^{^{'}} + 4 y = 12 t + 16, y (0) = 3, y^{^{'}} (0) = - 4

\frac{d}{d x} (\frac{2 ^{0}}{3 ^{1} + 0})

n \to \infty lim (n)

y^{^{'}} - 2 y = 0, y (0) = 2

What is the limit as x approaches 0 of (4x)/(|x|) ?
The limit as x approaches 0 of (4x)/(|x|) is diverges