Question

lim
x→infinity of [ (sqrt of 4x^6 − x) / (x^3 + 9)]

Answer 1

\[\lim_{x \rightarrow \infty} \frac{ \sqrt{4x^6-x} }{ x^3+9 }\]

Answer 2

from your eyeballs
\[\frac{\sqrt{4x^6}}{x^3}=\frac{2x^3}{x^3}=2\]

Answer 3

Oh so the whole limit is \[\lim_{x \rightarrow \infty} of 2\]

Answer 4

is the answe 2?

Answer 5

yes, the answer is 2

Answer 6

oh wow I didnt even see that it was equivalent to 2! thanks

Answer 7

yw,
i did cheat a bit by ignoring the unimportant terms at the end