A cura di: Administrator

Limite in forma indeterminata $+infty-infty$

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

$lim_{x rightarrow 1^+} [frac{1}{(x-1) (x+1)} + frac{1}{(x-1) (x-2)}] =$

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

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