What is the limit as x approaches-2 of 5x^3+3x^2-6 ?

The limit as x approaches-2 of 5x^3+3x^2-6 is -34

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limit as x approaches-2 of 5x^3+3x^2-6

x \to - 2 lim (5 x^{3} + 3 x^{2} - 6)

- 34

Solution steps

x \to - 2 lim (5 x^{3} + 3 x^{2} - 6)

Plug in the value

x = - 2

= 5 (- 2)^{3} + 3 (- 2)^{2} - 6

Simplify

5 (- 2)^{3} + 3 (- 2)^{2} - 6 : - 34

= - 34

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

x \to 2 lim (2 x^{2} - 4 x + 8)

x \to 4 - lim (- \frac{1}{x ^{2} - 16})

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

x \to 0 lim (\frac{( x - 2 )}{x ^{4}})

What is the limit as x approaches-2 of 5x^3+3x^2-6 ?
The limit as x approaches-2 of 5x^3+3x^2-6 is -34