SOLUTION: determine the value that f(x)=4x-5/x-6 approaches as x-increases and decreases in magnitude without bound. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: determine the value that f(x)=4x-5/x-6 approaches as x-increases and decreases in magnitude without bound. Thank you      Log On


   

Question 364043: determine the value that f(x)=4x-5/x-6 approaches as x-increases and decreases in magnitude without bound. Thank you
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This is an indeterminate form. Use L'Hôpital's rule.

If or and exists, then



So if



then



and



Therefore




John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism