Line, Point, Curve

Calculus Level 1

f(x)={(x24)/(x2), if x<22, if x=2x33x2+2x+4, if x>2f(x) = \large{\begin{cases} (x^2 - 4)/(x-2), & \text{ if } x < 2 \\ 2, & \text{ if } x = 2 \\ x^3-3x^2 + 2x + 4 , & \text{ if } x > 2 \\ \end{cases} }

Compute limx2f(x)\displaystyle \lim_{x \to 2} f(x).

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