Question

Find the lim as x approaches infinity of ln(9x-7 / 5x+4)

Answer 1

I thought about using the logarithm rule: ln(a/b) = ln(a)-ln(b) but it did't seem to get me anywhere.

Answer 2

*didn't

Answer 3

hint* take the limit of the inside

Answer 4

I'll try that @xapproachesinfinity nice name btw, lol ;D

Answer 5

thanks :)
the reason i said is because log are continuous on the domain

Answer 6

Okay, so I just used L'Hospitals Rule and got 9/5 for the limit and then took the natural log of that. Final answer: ln(9/5)

Answer 7

yes! that is good!
you don't need L'H
just some basic techniques for limits :)
but no harm in using the rule :)

Answer 8

alright, thanks! :)

Answer 9

np:)