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

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

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

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

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= - \frac{1}{2}

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

x \to \infty lim ((- 1) x)

k \to \infty lim (x^{k})

x \to - \infty lim (x^{9} e^{x})

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

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