What is the limit as x approaches-1/2 of 3x^2(2x-1) ?

The limit as x approaches-1/2 of 3x^2(2x-1) is -3/2

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limit as x approaches-1/2 of 3x^2(2x-1)

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

- \frac{3}{2}

Decimal Notation

- 1.5

Solution steps

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

Plug in the value

x = - \frac{1}{2}

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

Simplify

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

= - \frac{3}{2}

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

x \to \infty lim ((\frac{14 x}{14 x + 6})^{2 x})

x \to 0 - lim (\frac{6}{5 x ^{3}})

x \to 0 - lim (\frac{1}{x ^{15}})

x \to - 2 lim (π)

What is the limit as x approaches-1/2 of 3x^2(2x-1) ?
The limit as x approaches-1/2 of 3x^2(2x-1) is -3/2