Question

find the lim x→2 3x^-4x+1/x-1

Answer 1

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• Evaluate $\displaystyle \lim_{x \to2} \small \frac{3 {x}^{2} - 4x + 1 }{x - 1}$

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$\displaystyle \lim_{x \to2} \small \frac{3 {x}^{2} - 4x + 1 }{x - 1}$

$= \frac{3 \times {2}^{2} - 4 \times 2 + 1}{2 - 1}$

$= \frac{12 - 8 + 1}{1}$

$= 4 + 1$

$= 5$

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• Answer for the problem is 5.