Lim x - >3x ^ 2 - 4 / x ^ - 5x + 6?

Respuesta : <img src="https://tex.z-dn.net/?f=%5Cfbox%7BEl%20L%5C%27imite%20no%20existe%7D" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=%5Ctexttt%7B%5Csl%7BLa%20expresi%5C%27on%20es%3A%7D%7D%5C%5C%5C%5C%5Clim_%7Bx%5Cto%203%7D%5Cfrac%7Bx%5E%7B2%7D-4%7D%7Bx%5E%7B2%7D-5x%2B6%7D%5C%5C%5C%5C%5Ctexttt%7B%5Csl%7BSi%20evaluamos%20el%20l%5C%27imite%20nos%20produce%20una%7D%7D%5C%5C%5Ctexttt%7B%5Csl%7Buna%20indeterminaci%5C%27on%2C%20para%20eliminarla%2C%20factorizamos%20el%7D%7D%5C%5C%5Ctexttt%7B%5Csl%7Bnumerador%20y%20denominador%20y%20nos%20queda%3A%7D%7D%5C%5C%5C%5C%5Clim_%7Bx%5Cto3%7D%5Cfrac%7B%28x%2B2%29%28x-2%29%7D%7B%28x-2%29%28x-3%29%7D%5C%5C%5Ctexttt%7B%5Csl%7BEliminando%20los%20factores%20comunes%20nos%20queda%3A%7D%7D%5C%5C%5C%5C%5Clim_%7Bx%5Cto3%7D%5Cfrac%7Bx%2B2%7D%7Bx-3%7D%5C%5C%5C%5C%5Ctexttt%7B%5Csl%7BNuevamente%20si%20evaluamos%20el%20l%5C%27imite%20%7D%7D%5C%5C%5Ctexttt%7B%5Csl%7Bse%20produce%20una%20indeterminaci%5C%27on%7D%7D%5C%5C%5Ctexttt%7B%5Csl%7By%20ya%20no%20podemos%20simplificar%20mas%7D%7D%5C%5C%5Ctexttt%7B%5Csl%7Bpor%20lo%20tanto%20el%20l%5C%27imite%20no%20existe%7D%7D" />Saludos.