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Study23Best 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??
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
no you multiply out
 one year ago

satellite73Best 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
 one year ago

Study23Best ResponseYou've already chosen the best response.0
How do I expand the trinomial?
 one year ago

satellite73Best 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 \[(2+h)(2+h)(2+h)\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
one more time \[(a+b)^3=a^3+3a^2b+3ab^2+b^3\]
 one year ago
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