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## Homework Statement

Find an equation of the tangent line to the curve at the given point.

[tex]y = 1 + 2x - x^3[/tex], (1,2)

## Homework Equations

[tex]y = mx + b[/tex]

[tex]m = \lim_{x\rightarrow a} \frac{f(x) - f(a)}{x - a}[/tex]

## The Attempt at a Solution

[tex]\lim_{x\rightarrow 1} \frac{(1 + 2x - x^3) - 2}{x - 1}[/tex]

[tex]= \lim_{x\rightarrow 1} \frac{-1 + 2x - x^3}{x - 1}[/tex]

I'm not sure where to go from there.

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