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How to work out a range of validity for a Taylor Series

Monkey61 · 2009-07-30 09:15:42

Hi, Just a quick one if anybody can help. I need to determine a range of validity for a Taylor Series about 0 for In3+In(1+x/3). Now I know that the range of validity for In(1+x) is -1<x<1 so the range of validity for In(1+x/3) is -3<x<3. Does the constant In3 make a difference to the range of validity for the series? Or…

30-07-2009 9:15am

#1

Monkey61

Registered Users, Registered Users 2 Posts: 1,137 ✭✭✭

Join Date: August 2006

Posts: 1063

Hi,

Just a quick one if anybody can help.

I need to determine a range of validity for a Taylor Series about 0 for In3+In(1+x/3). Now I know that the range of validity for In(1+x) is -1<x<1 so the range of validity for In(1+x/3) is -3<x<3.

Does the constant In3 make a difference to the range of validity for the series? Or is it still -3<x<3?

Thanks guys!

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