Question

find the limit as x approaches infinity of ((4x^3)-x-5)/(4x-7)

Answer 1

\[\lim_{x \rightarrow \infty}\frac{ 4x ^{3}-x-5 }{ 4x-7 }\]

Answer 2

and your working now?

Answer 3

same as the last question? would I divide everything by the highest power of x?

Answer 4

yep, divide by highest power if x

Answer 5

*of x

Answer 6

I get 4/0 and you cannot have a 0 in the denominator so as @EllaElla02 said, the limit does not exist.

Answer 7

depends on how your book defines infinity ... it is either DNE or +inf

Answer 8

in class we use DNE

Answer 9

in other courses, the would say +inf :)

Answer 10

because it covers - inf and +inf so its safer