Question

si f (X)= 2x2-5x+2/ x-2 hallar Lim x 2 f(X)

Answer 1

Date cuenta que:$2x^{2}-5x+2=(x-2)(2x-1)$

Reemplazando tendras:
$\lim_{x \to \2}\frac{2x^{2}-5x+2}{x-2}=\lim_{x \to \2} \frac{(x-2)(2x-1)}{x-2}$

Eliminando el termino x – 2 se tiene:
$\lim_{x\to\2}\frac{(x-2)(2x-1)}{x-2}=\lim_{x\to\2} 2x-1=2(2)-1=3$