What is the limit as x approaches 0 of (x^2-3x)/(2x) ?

The limit as x approaches 0 of (x^2-3x)/(2x) is -3/2

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limit as x approaches 0 of (x^2-3x)/(2x)

x \to 0 lim (\frac{x ^{2} - 3 x}{2 x})

- \frac{3}{2}

Decimal

- 1.5

Solution steps

x \to 0 lim (\frac{x ^{2} - 3 x}{2 x})

Simplify

\frac{x ^{2} - 3 x}{2 x} : \frac{1}{2} (x - 3)

= x \to 0 lim (\frac{1}{2} (x - 3))

Plug in the value

x = 0

= \frac{1}{2} (0 - 3)

Simplify

\frac{1}{2} (0 - 3) : - \frac{3}{2}

= - \frac{3}{2}

What is the limit as x approaches 0 of (x^2-3x)/(2x) ?
The limit as x approaches 0 of (x^2-3x)/(2x) is -3/2