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Study23
 2 years ago
Best 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??

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2then 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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2if 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 \[(2+h)(2+h)(2+h)\]

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