What is the limit as x approaches 0-of (|3x|)/x ?

The limit as x approaches 0-of (|3x|)/x is -3

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limit as x approaches 0-of (|3x|)/x

x \to 0 - lim (\frac{∣ 3 x ∣}{x})

- 3

Solution steps

x \to 0 - lim (\frac{∣ 3 x ∣}{x})

3 x

is negative when

x \to 0 -

. Therefore

∣ 3 x ∣ = - 3 x

= x \to 0 - lim (\frac{- 3 x}{x})

\frac{- 3 x}{x} = - 3

= x \to 0 - lim (- 3)

x \to a lim c = c

= - 3

\frac{d}{d x} (x - 2 cos (x))

x \to 2 + lim (e^{\frac{1}{2 - x}})

- 6 x^{2} + 9 x + 4 x^{3}

\frac{d}{d x} ((8 x + 1)^{2})

\int \frac{17}{( x + 1 ) ( x ^{2} + 16 )} d x

What is the limit as x approaches 0-of (|3x|)/x ?
The limit as x approaches 0-of (|3x|)/x is -3