Question

Como Calcular o Limite ?

Lim x²-2x+3
------------- =
x>-1 2x-3

Answer 1

$\lim_{x \to -1} \frac{ x^{2} -2x+3}{2x-3}$

basta substituir o valor de x 

$\lim_{x \to -1} \frac{ (-1)^{2} -2.(-1)+3}{2.(-1)-3}$

$\lim_{x \to-1} \frac{1+2+3}{-2-3}$

$\lim_{x \to-1} \frac{6}{-5}$

então :

$\lim_{x \to -1} \frac{ x^{2} -2x+3}{2x+3} = \boxed{- \frac{6}{5} }\ \ \ \ \ ok$