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

The limit as x approaches-2 of (2x^3)/(2x+2) is 8

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

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

8

Solution steps

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

Plug in the value

x = - 2

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

Simplify

\frac{2 ( - 2 ) ^{3}}{2 ( - 2 ) + 2} : 8

= 8

x \to 0 lim (x^{2} (1 - ln (x)))

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

x \to \infty lim (e^{x l n (1 + \frac{3}{2 x})})

x \to 0 + lim (\frac{ln ( 1 + 10 x )}{x})

x \to \infty lim (\frac{x}{s})

What is the limit as x approaches-2 of (2x^3)/(2x+2) ?
The limit as x approaches-2 of (2x^3)/(2x+2) is 8