Limit of (3x^3+2)/sqrt(x^4-2) as x→-∞

[chemic_23]

Homework Statement

limit of (3x^3+2)/ sqrt(x^4-2) as x approaches to minus infinity

Homework Equations

The Attempt at a Solution

I tried to solve and I came up with limit of (3x^3+2)/ sqrt(x^4-2) as x approaches to minus infinity is plus infinity but when I checked the answer key, it is minus infinity can someone please tell me?

 

[tiny-tim]

Hi chemic_23!

I tried to solve and I came up with limit of (3x^3+2)/ sqrt(x^4-2) as x approaches to minus infinity is plus infinity but when I checked the answer key, it is minus infinity can someone please tell me?

Easy-peasy …

for large negative x, the top is always negative, while the bottom is always positive …

so the limit has to be negative.