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Calculus1
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OpenStudy (anonymous):
How do you find the limit for an equation that equals 0/0?
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OpenStudy (anonymous):
Try to simplify algebraically or use l'Hospital's rule
OpenStudy (anonymous):
l'Hopital's rule. gotta love it
OpenStudy (anonymous):
would really help if you wrote the expression
\(\frac{0}{0}\) is a form, not a number, so it could be almost anything
OpenStudy (anonymous):
it is entirely possible that you have not got to l'hopital yet, there are other methods
OpenStudy (anonymous):
Okay so the limit that I need to find is x-2/x^2-x-2 as x approaches 2. It equals 0/0 and I don't know how to solve it another way.
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OpenStudy (anonymous):
factor out the denominator
OpenStudy (anonymous):
see, no need for l'hopital
factor
cancel
replace \(x\) by \(2\)
OpenStudy (anonymous):
So the answer would be 1/3?
OpenStudy (anonymous):
What did you get when you factored?
OpenStudy (anonymous):
(x-2)/(x+1) (x-2)
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OpenStudy (anonymous):
Okay 1/3 looks right
OpenStudy (anonymous):
Thank you!
OpenStudy (anonymous):
wait? is 0/0 an invalid form? or was it undefined?
OpenStudy (anonymous):
It was undefined.
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