Evaluate the limit. If the limit does not exist, enter DNE.

\lim_{x o 6} \frac{x^2 - 12 x+36}{x^4 -1296}

I keep getting the wrong answer.. and I'm factoring it too.

Question

Evaluate the limit. If the limit does not exist, enter DNE. 

\lim_{x 	o 6} \frac{x^2 - 12 x+36}{x^4 -1296}

I keep getting the wrong answer.. and I'm factoring it too.

anonymous · Answer

Have you learned L'Hospital's yet?

hero · Answer

Do you really need L'Hopital (not Hopsital) rule to do this?

anonymous · Answer

Presuming you said "factoring", I'm guessing no.

anonymous · Answer

Well, what do you NEED? More than one way to skin a cat.

anonymous · Answer

I haven't.

anonymous · Answer

...and I've seen multiple texts spell it BOTH ways ;]

hero · Answer

L'Hopital Rule is like one of those last resort kinda things. Like a resource you use when all else fails.

anonymous · Answer

In this case, I think this would be the rapid solution. Nontheless, what did you get for factors?

hero · Answer

On the other hand, it is a good checking procedure. Especially for a no-calc exam.

anonymous · Answer

(x-6)(x-6)/(x-6)(x+6)(x-6)(x+6)

anonymous · Answer

Very close, but one of them can't be factored like that:

anonymous · Answer

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