$lim_{xto-2}((x+5)/(x+2)+(4-x)/(x^2+2x))$

A cura di: Administrator

Limite in forma indeterminata $infty – infty$

$lim_{x rightarrow -2} (frac{x+5}{x+2}+frac{4-x}{x^2+2x}) =$$lim_{x rightarrow -2} frac{1}{x+2}cdot [(x+5)+frac{4-x}{x}] =$$lim_{x rightarrow -2} frac{1}{x+2}cdot frac{x^2+5x-x+4}{x} =$$lim_{x rightarrow -2} frac{1}{x+2}cdot frac{(x+2)^2}{x} =$$lim_{x rightarrow -2} frac{x+2}{x} = 0$