$lim_{xto 1}(1/(x-1)+1/(x^2-3x+2))$

A cura di: Administrator

Limite in forma indeterminata $infty – infty$

$lim_{x rightarrow 1} (frac{1}{x-1}+frac{1}{x^2-3x+2}) =$$lim_{x rightarrow 1} frac{1}{x-1}cdot (1+frac{1}{x-2}) =$$lim_{x rightarrow 1} frac{1}{x-1}cdot frac{x-2+1}{x-2} =$$lim_{x rightarrow 1} frac{1}{x-2} = -1$