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

The limit as x approaches 2 of x^3+2x^2-x-4 is 10

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

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

10

Solution steps

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

Plug in the value

x = 2

= 2^{3} + 2 \cdot 2^{2} - 2 - 4

Simplify

2^{3} + 2 \cdot 2^{2} - 2 - 4 : 10

= 10

What is the limit as x approaches 2 of x^3+2x^2-x-4 ?
The limit as x approaches 2 of x^3+2x^2-x-4 is 10