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DANIEL93
 2 years ago
single variable calculus . help me friends
find the maclaurine series for
(i) f(x)=1/1−x
DANIEL93
 2 years ago
single variable calculus . help me friends find the maclaurine series for (i) f(x)=1/1−x

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klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1\(\frac1{1x}=1+x+x^2+x^3+..., x<1\)

DANIEL93
 2 years ago
Best ResponseYou've already chosen the best response.0can you explain how to get it?

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1It is the sum of the geometric sequence.

DANIEL93
 2 years ago
Best ResponseYou've already chosen the best response.0oh.. okay2. how to find taylor series then?

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1\(f(x)=f(x_0)+f'(x_0)(xx_0)+\frac{f''(xx_0)}{2!}(xx_0)^2+\ldots+\frac{f^{(n)}(x_0)}{n!}(xx_0)^n+\ldots\)

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.0\[\huge f(x)=\sum_{n=0}^{+\infty} \frac{ f^n(a) }{ n! }(xa)^n\] compute the value of \[\huge f^{(n)}(a)\]

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.0where f^0(a) is the value of the function, f^1(a) is the value of the first derivative. For the maclaurin series, use a = 0.

DANIEL93
 2 years ago
Best ResponseYou've already chosen the best response.0@klimenkov : thank you :D @sirm3d : tHANK yOU :D
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