Mathematics
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OpenStudy (anonymous):
Limit question?
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OpenStudy (anonymous):
hartnn (hartnn):
rationalize the numerator!
hartnn (hartnn):
know how to ?
OpenStudy (anonymous):
Yes, conjugate ?
OpenStudy (anonymous):
okay you can use L'hospital rule here...
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OpenStudy (anonymous):
that would be fairly easy..
hartnn (hartnn):
if you can use L'Hopitals , yes, easy
if you cannot , yes, multiply and divide by conjugate \sqrt (5x^2-1) +2
OpenStudy (anonymous):
@prince90p Don't assume they know that rule.
OpenStudy (anonymous):
@wio okie got that.! then as hartnn said multiply numerator and denominator by conjuagte...
conjugate is \[\sqrt{5x^2-1} +2\]
OpenStudy (anonymous):
Okay, ive done that. I get
5x2+4/
(x-1)[sqrt(5x2-1)+2]
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OpenStudy (anonymous):
check you answer it should have been
\[5x^2-5/(x-1)(\sqrt{5x^2-1}+2)\]
OpenStudy (anonymous):
we have just used
\[(a+b) (a-b)=a^2-b^2\]
hartnn (hartnn):
(5x^2-1) - 2^2
OpenStudy (anonymous):
Alrightt I understand from this point onward! Thank you all:)
OpenStudy (anonymous):
you are welcome bro..! :)
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hartnn (hartnn):
good help @prince90p :)
keep up the good work :)
OpenStudy (anonymous):
@hartnn thanks bro,! :)