## clara1223 one year ago find the limit as x approaches infinity of ((4x^3)-x-5)/(4x-7)

1. clara1223

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

2. amistre64

3. clara1223

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

4. amistre64

yep, divide by highest power if x

5. amistre64

*of x

6. clara1223

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

7. amistre64

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

8. clara1223

in class we use DNE

9. amistre64

in other courses, the would say +inf :)

10. clara1223

because it covers - inf and +inf so its safer