What is the limit as x approaches 2 of x^3+4x^2-3x-6 ?

The limit as x approaches 2 of x^3+4x^2-3x-6 is 12

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limit as x approaches 2 of x^3+4x^2-3x-6

x \to 2 lim (x^{3} + 4 x^{2} - 3 x - 6)

12

Solution steps

x \to 2 lim (x^{3} + 4 x^{2} - 3 x - 6)

Plug in the value

x = 2

= 2^{3} + 4 \cdot 2^{2} - 3 \cdot 2 - 6

Simplify

2^{3} + 4 \cdot 2^{2} - 3 \cdot 2 - 6 : 12

= 12

\int \frac{1}{t ^{2} 5 - t ^{2}} d t

\int_{1}^{4} \frac{3}{x ^{2}} d x

\frac{\partial}{\partial x} (x + y + x y + \frac{x}{y} + \frac{y}{x})

y^{^{''}} + y = k

\int_{4}^{5} x^{2} x - 4 d x

What is the limit as x approaches 2 of x^3+4x^2-3x-6 ?
The limit as x approaches 2 of x^3+4x^2-3x-6 is 12