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Study23
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Limits help (kind of forgot...) Click here to see function
 2 years ago
 2 years ago
Study23 Group Title
Limits help (kind of forgot...) Click here to see function
 2 years ago
 2 years ago

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Study23 Group TitleBest ResponseYou've already chosen the best response.0
\[ \huge \lim_{x \rightarrow 2} \frac{(x3)(x+2)}{(x2)}.\]
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
How can I simplify the denominator so that it doesnt give me a 0..?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
numerator is not zero, so go fish
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
directly put x=2
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
i.e. no limit
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
? Wouldn't it be a a denominator of 0, which is a "nono"?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
if you get a zero in the denominator, but not a zero in the numerator, then there is no limit only when you get \(\frac{0}{0}\) can you continue if you get a zero in the denominator
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
No, We haven't learned about that yet
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
l'hopital works for \(\frac{0}{0}\) in any case you didn't get there yet i am sure
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
So, @satellite73 would the limit be DNE ?
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
Because my teacher always says to only substitute directly when the denominator is not equal to zero...
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
not applicable here if you have a rational funciton, and you want to take the limit as x goes to some number, the first step is to plug in the number if you get a number back, that is your answer if you get \(\frac{a}{0}\) where \(a\neq 0\) there is no limit if you get \(\frac{0}{0}\) there is more work to be done factor and cancel but in this case you get \(\frac{4}{0}\) so forget it
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
That makes a lot of sense @satellite73! Thanks so much!!
 2 years ago
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