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

The limit as x approaches 0-of (|x|)/(2x) is -1/2

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

x \to 0 - lim (\frac{∣ x ∣}{2 x})

- \frac{1}{2}

Solution steps

x \to 0 - lim (\frac{∣ x ∣}{2 x})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

\frac{- x}{2 x} = - \frac{1}{2}

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

x \to a lim c = c

= - \frac{1}{2}

\frac{d}{d x} (\frac{e ^{\frac{1}{x}}}{x})

\int (sin (x))^{6} (cos (x))^{3} d x

\int sec^{6} (4 x) d x

f (x) = (3 x^{3} - 4 x^{2} + 5 x - 9)^{2}, at x = 2

x \to 2 lim (x^{2} + 6 x + 5)

What is the limit as x approaches 0-of (|x|)/(2x) ?
The limit as x approaches 0-of (|x|)/(2x) is -1/2