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limx2[x32x2x25x+6]=\lim_{x \to 2} [\frac{x^3 - 2x^2}{x^2-5x+6}]=

A-2

B-4

C2

D4

Answer:

B. -4

Read Explanation:

limx2[x32x2x25x+6]\lim_{x \to 2} [\frac{x^3 - 2x^2}{x^2-5x+6}]

limx2[x32x2x25x+6]=limx2x2(x2)(x2)(x3)=limx2x2x3=41=4\lim_{x \to 2} [\frac{x^3 - 2x^2}{x^2-5x+6}]= \lim_{x \to 2}\frac {x^2(x-2)}{(x-2)(x-3)} = \lim_{x \to 2} \frac{x^2}{x-3} = \frac{4}{-1}= -4


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