Question

lim x2-5x+6/ x2-12x+20 tendendo a x-1

Answer 1

Basta substituir os valores !

$\lim_{x \to -1} \frac{ x^{2} -5x+6}{ x^{2} -12x+20}$

$\lim_{x \to -1} \frac{ (-1)^{2}-5.(-1)+6 }{(-1) ^{2}-12.(-1)+20 }$

$\lim_{x \to -1} \frac{1+5+6}{1+12+20} = \frac{12}{33} = \frac{4}{11}$

Então ...

$\boxed{\boxed{\lim_{x\to -1} \frac{ x^{2} -5x+6}{ x^{2} -12x+20} =\ \boxed{ \frac{4}{11} }}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$