What is the limit as x approaches 0 of (|-2x|)/(5x) ?

The limit as x approaches 0 of (|-2x|)/(5x) is diverges

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limit as x approaches 0 of (|-2x|)/(5x)

x \to 0 lim (\frac{∣ - 2 x ∣}{5 x})

diverges

Solution steps

x \to 0 lim (\frac{∣ - 2 x ∣}{5 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{∣ - 2 x ∣}{5 x}) = \frac{2}{5}

x \to 0 - lim (\frac{∣ - 2 x ∣}{5 x}) = - \frac{2}{5}

= diverges

\frac{\partial}{\partial x} (34)

\int_{0}^{4} π e^{- \frac{x}{2}} d x

x \to 0 lim (2^{(x - 1)})

\frac{4}{s + 5}

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

What is the limit as x approaches 0 of (|-2x|)/(5x) ?
The limit as x approaches 0 of (|-2x|)/(5x) is diverges