Evaluate lim ( |x| )/(x + 1) as x approaches negative infinity​

Question

Evaluate

`lim ( |x| )/(x + 1)`
as x approaches negative infinity​

Answer 1

Explanation:

x approches negative infinity

so : |x|= -x

replace it in the expression

`(-x)/(x+1)`

so :

`\lim_(x \to \-infty) (-x)/(x+1)`= limx⇒-∞( -x/x) you take the terms with the highest degree

so limx⇒-∞ (-x/x) = -1