What is the limit as x approaches-2 of 2x^3+x^2-4 ?

The limit as x approaches-2 of 2x^3+x^2-4 is -16

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limit as x approaches-2 of 2x^3+x^2-4

x \to - 2 lim (2 x^{3} + x^{2} - 4)

- 16

Solution steps

x \to - 2 lim (2 x^{3} + x^{2} - 4)

Plug in the value

x = - 2

= 2 (- 2)^{3} + (- 2)^{2} - 4

Simplify

2 (- 2)^{3} + (- 2)^{2} - 4 : - 16

= - 16

x \to - 2 lim (2 x^{2} - 8)

x \to 5 + lim (\frac{1}{5 - x})

x \to + 0 lim (x \cdot ln (x))

x \to - 3 + lim (\frac{x ^{2} + 9}{x + 3})

x \to 2 lim (5 - 2 x)

What is the limit as x approaches-2 of 2x^3+x^2-4 ?
The limit as x approaches-2 of 2x^3+x^2-4 is -16