Question

f(x)= 3x²-10x+3/x-3
x->3
Alguém sabe responder por favor?

Answer 1

$\lim_{x \to 3} \frac{3x^2-10x+3}{x-3} = \frac{0}{0}$

Calcule as raízes do numerador (x' e x''):

$x'=3$    e    $x''= \frac{1}{3}$


$\lim_{x \to 3} \frac{a(x-x')(x-x')}{x-3}$

$\lim_{x \to 3} \frac{3(x-3)(x- \frac{1}{3} )}{x-3}$


$\lim_{x \to 3} {3(x- \frac{1}{3} )$


$\lim_{x \to 3} {3*(3- \frac{1}{3} )$


$\lim_{x \to 3} {3*(\frac{9-1}{3} )$


$\lim_{x \to 3} { \not3*(\frac{8}{ \not3} ) = 8$


$\boxed{\boxed{\lim_{x \to 3} \frac{3x^2-10x+3}{x-3} = 8}}$