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anonymous
 one year ago
f(x) = e^(2x) + e^(−2x)
Find an upper bound for the error in using the second degree Maclaurin polynomial of f to approximate f(0.5).
anonymous
 one year ago
f(x) = e^(2x) + e^(−2x) Find an upper bound for the error in using the second degree Maclaurin polynomial of f to approximate f(0.5).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I guess I have to use the Lagrange remainder formula, right? \[E _{n}(x) = f(x)  T _{n}(x) =\frac{ f ^{(n+1)}(c) }{ (n+1)! }(xa)^{(n+1)}\] Where c lies between x and a

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes just plug the rest in

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is my 3rd derivative correct? I got... \[8e ^{2x}8e ^{2x}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Cool, so then I get \[E _{2}(0.5)=\frac{ e ^{2c} e ^{2c}}{ 6 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes! im surprised u asked for help cuz u get it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lol I don't know what to do next :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What if I was trying to find the lower bound?
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