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anonymous
 5 years ago
how do we know if this is a power series 1+x+(x1)^2+(x2)^3+(x3)^4+...
anonymous
 5 years ago
how do we know if this is a power series 1+x+(x1)^2+(x2)^3+(x3)^4+...

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Since this is not centered around a point (you are subtracting different values from x each time), it is not a power series.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0because everything is in the form of (xn)^(n+1) starting with n=1. doesn't that make it a power series?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0http://en.wikipedia.org/wiki/Power_series says it is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, a power a series is a series of the form \[\sum_{n=0}^{\infty}c _{n}x ^{n} = c_{0}+c_{1}x+c_{2}x^{2}+....+c_{n}x^{n}+...\] or \[\sum_{n=0}^{\infty}c_{n}(xa)^{n}=c_{0}+c_{1}(xa)+c_{2}(xa)^{2}+...+c_{n}(xa)^{n}+...\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0:myininaya said this is this also true because everything is in the form of (xn)^(n+1) starting with n=1. doesn't that make it a power series? 7 minutes ago

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have (x1)^2 and (x2)^3 in the same series. 1 and 2 are not the same number, so this series is not centered around a point. That number being subtracted from x cannot change.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0ok nkili sounds right to me
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