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Study23 Group TitleBest ResponseYou've already chosen the best response.0
\(\ \Huge \lim_{h \rightarrow 0} \ \frac{(2+h)^38}{h} .\) Do I just multiply h/h, to get 1 on the denominator??
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
no you multiply out
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
\((2+h)^3=...\)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
then subtract 8 and the usual miracle will occur everything without an \(h\) will be gone, so you can factor an \(h\) out of the numerator, cancel with the \(h\) in the denominator, then replace \(h\) by 0
 2 years ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
How do I expand the trinomial?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
if you do not know that \((a+b)^2=a^3+3a^2b+3ab^2+a^3\) then you have the annoying task of multiplying by hand \[(2+h)(2+h)(2+h)\]
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
one more time \[(a+b)^3=a^3+3a^2b+3ab^2+b^3\]
 2 years ago
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