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Mathematics 21 Online
OpenStudy (anonymous):

limit help

OpenStudy (anonymous):

\[\lim_{x \rightarrow 2}\frac{ v ^{3}-8 }{ v ^{4}-16 }\]

OpenStudy (anonymous):

Is L-Hospitals Rule Allowed ?

OpenStudy (usukidoll):

need to factor first. DO NOT TAKE THE LIMIT!

OpenStudy (usukidoll):

L hopital

OpenStudy (usukidoll):

can only be used when the result is 0/0

OpenStudy (anonymous):

i know if i take the limit then i divide by zero. how do i use L'Hospital?

OpenStudy (usukidoll):

you don't want 0 at all

OpenStudy (anonymous):

Differentiate Numerator and Denominator Seperately then apply the limit

OpenStudy (usukidoll):

L'hopital is taking the derivative of the numerator and denominator

OpenStudy (anonymous):

you can factor. DO NOT USE L'HOPITAL if it is not in an 'indeterminate' form or you will gain a useless answer - it won't make sense

OpenStudy (usukidoll):

that's what I'm saying. L'hopital is only when it's in 0/0 form

OpenStudy (usukidoll):

cube factor/ perfect square factor

OpenStudy (anonymous):

how can I factor it then? whichever way is simpler and more time saving

OpenStudy (usukidoll):

*lpoints*

OpenStudy (usukidoll):

sigh how can I type this without giving direct answers

OpenStudy (anonymous):

lol. ok you have a lot of 2 multiples in there. try it and see what happens

OpenStudy (usukidoll):

you have a cube polynomial on the numerator <--- that's a special way of factoring.

OpenStudy (anonymous):

wait is that a 3 or a 2 o_o

OpenStudy (usukidoll):

you have a perfect square polynominal <-- factoring isn't as difficult as the cube

OpenStudy (usukidoll):

|dw:1357557148714:dw|

OpenStudy (anonymous):

oh thanks ;D

OpenStudy (usukidoll):

|dw:1357557166043:dw|

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