The limit of higher numbers, LIM (x-1) / (x ^ 2 + 5x + 4) x is close to 0, the teacher said in class is about equal to 1 / x = 0, how come

The limit of higher numbers, LIM (x-1) / (x ^ 2 + 5x + 4) x is close to 0, the teacher said in class is about equal to 1 / x = 0, how come

The fastest way is to use the law of lobida, and get the following result: Lim1 / (2x) can be approximately equal to 1 / x = 0