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GoldRush18Best ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 2} x^38 \div x^26x+8\]
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
it did not specify it just says find the limit
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
if you replace x by 2 and get \(\frac{0}{0}\) then factor and cancel
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@satellite73 i know but thats not the answer i think i would have to factorize the denominator
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@matt1888 how do i factor the numerator
 one year ago

experimentXBest ResponseYou've already chosen the best response.2
\[ \lim_{x \rightarrow 2} \frac{x^3  8}{x^2  6x + 8} = \lim_{x \rightarrow 2} \frac{(x  2)(x^2 + 2x + 4)}{(x2)(x4)}\] Cancel out \( (x 2) \) on both numerator and denominator and put the values of x to get your limit.
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
and if you do get \[\frac{0}{0}\] when replacing x by 2 you know how it factors, it must be \[\frac{(x2)(\text{something})}{(x2)(\text{something else})}\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
don't forget, if you know a zero of a polynomial you know how it factors
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
thanks @satellite73 @experimentX and @matt1888 :)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
in other words it is not a miracle that both numerator and denominator have a common factor of \((x2)\) they must have a common factor
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
also don't forget (because you will see it again) that \[a^3b^3=(ab)(a^2+ab+b^2)\]
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
yes i do and i have more questions coming up because i'm preparing for Final exams so i really would appreciate the help from you all :)
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@satellite73 whenever i see a equation like that in the numerator i keep forgetting that rule
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
don't forget for the test! also know that \(a^3+b^3=(a+b)(a^2ab+b^2)\)
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@matt1888 im gonna write them down until i know it and btw how was your test?
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
if i could i would have given you all a medal :D
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
not to be picky @matt1888 (and byw congratulation on finishing your final) but you cannot "foil it out" because a) it is three terms by two terms and b) you are factoring, not multiplying, so unless you know the answer you will probably not be able to get it (although you could divide is suppose)
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@matt1888 thats awesome i want to aim high in my finals and go in there with confidence but i have some real issues doing graphs, deferentiation and integration and so forth
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
@matt1888 i will let you know when i look back on the topics these are just past paper questions im going through now
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
Calculus at Pre University
 one year ago
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