Question

Find the limit.

lim
x→−∞

square root of 4x^6 − x divided by
x^3 + 4

Answer 1

\[\lim_{x \rightarrow - \infty}\frac{\sqrt{4x^6-x}}{x^3+4}\]?

Answer 2

but actually what I translate you said is this:
\[\lim_{- \rightarrow - \infty}(\sqrt{4x^6}-\frac{x}{x^3}+4 )\]

Answer 3

but for some reason I don't think it is that

Answer 4

if it is the first one @freckles
you can pull out x^6 on the nominator
and x^3 in the denominator

Answer 5

you mean divide both top and bottom by sqrt(x^6}
but sqrt(x^6)=-x^3
so this needs to be kept in mind

Answer 6

you can also pull out as i said! and yes you have to keep in mind that we taking negative values of x