SOLUTION: determine the value that f(x)=4x-5/x-6 approaches as x-increases and decreases in magnitude without bound. Thank you
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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) (Show Source): You can put this solution on YOUR website!
This is an 
indeterminate form. Use L'Hôpital's rule.
If \ =\ \lim_{x\rightarrow c}\ g(x)\ =\ 0)
or 
and }{g'(x)})
exists, then
}{g(x)}\ =\ \lim_{x\rightarrow c}\ \frac{f'(x)}{g'(x)})
So if
}{g(x)}\ =\ \frac{4x\ -\ 5}{x\ -\ 6})
then
}{g'(x)}\ =\ \frac{4}{1})
and
Therefore
John
My calculator said it, I believe it, that settles it
