Seigie B.

asked • 09/06/12

find the limit as it approaches -3 in the equation (6x+9)/x^4+6x^3+9x^2


7 Answers By Expert Tutors


Andrew G. answered • 09/07/12

Mathematics Tutor -- All Levels

Parviz F. answered • 09/07/13

Mathematics professor at Community Colleges

Yusef H. answered • 10/08/12

Chem and math tutor available near temple university

Andrew G.

"...but a positive value as you approach from the right (positive infinity)."
This is incorrect.  The numerator ( 3(2x+3) ) is negative as x approaches -3 from either side, so the overall expression approaches negative infinity for both the left and right limit.  A limit that approaches infinity is not defined and therefore the limit does not exist.


Walter B. answered • 09/14/12

I'm a statistician and teacher who loves teaching others


l'Hôpital's rule also called Bernoulli's rule, uses derivatives to help evaluate limits involving indeterminate forms: and you can onely use it if lim f =lim g = 0 or +–8 and other conditions. However, this condition is not satisfied in this situation so you cannot use this rule. Sorry



David F. answered • 09/06/12

Best Math Tutor in the Galaxy

Heather P.

Actually, you'd have to plug -3 into the function, but since you're trying to find the "limit as x->-3", you also have to see what the limit approaches from the left and right, and determine if it's an actual value (and the same from both sides).


Jamie B. answered • 09/06/12

Math & Physics - Flexible schedule, patient assistance

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.


Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.