Revelation about Taylor series and linear/quadratic approximations

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schlynn
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I don't have anyone else to ask. So I have to ask you guys. I learned about Taylor series, and then I went back and looked at linear and quadratic approximations, and they are Taylor series except only taken so far. I'm pretty much just looking for confirmation on my idea, it seems perfect.
 
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Sure, a truncated Taylor series is a finite order approximation.