Toán 11

C

cafekd



~O) Giải:

$\lim_{x\to1} \frac{x^{2012} - \sqrt{4-3x}}{x-1} = \lim_{x \to 1} (\frac{x^{2012} - 1}{x-1} + \frac{1-\sqrt{4-3x}}{x-1})$

$ = \lim_{x \to 1} (x^{2011} + x^{2010} + x^{2009} + ...+x + 1 + \frac{3}{1 + \sqrt{4-3x}}) $

$= 2012 + \frac{3}{2} = \frac{4027}{2}$


 
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