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OpenStudy (anonymous):
evaluate the limit algebraically... lim x-->2 (x-2)^3/(x^3-5x+2)
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OpenStudy (nenadmatematika):
the answer is 2 if x goes to infinity....
OpenStudy (nenadmatematika):
do you need explanation?
OpenStudy (nenadmatematika):
x goes to infinity or 2?
OpenStudy (mr.math):
Factorize \(x^3-5x+2\) to \((x-2)\) times something. Can you do that?
OpenStudy (anonymous):
yes, but it is (x-2)(x-.41...)(x+2.41...)
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OpenStudy (mr.math):
\[x^3-5x+2=(x-2)(x^2+2x-1)\]
OpenStudy (anonymous):
ok got it thank you
OpenStudy (mr.math):
You're welcome.
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