Question

limit x2-4x+3divididox2-x-6

Answer 1

Resposta:

P(x)=ax²+bx+c =(x-x')*(x-x'')  ..x' e x' são as raízes

x^2-4x+3=0

x'=1

x''=3

x^2-4x+3= (x-1)*(x-3)

x^2-x-6 =0

x'=-2

x''=3

x²-4x-6=0

(x+2)*(x-3)

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Lim (x²-4x+3)/(x²-x-6)

x-->3

Lim (x-3)*(x-1)/(x+2)*(x-3)

x-->3

Lim (x-1)/(x+2) = (3-1)/(3+2)=2/5 é a resposta

x-->3