We just had a lecture on power series today (Taylor and McLaurin's) and I had a couple of questions:(adsbygoogle = window.adsbygoogle || []).push({});

What does it mean for an expansion to be "around the origin"? I thought that the expansion provided an approximation to the original function at all points for which the function was defined.

Similarly, what does it mean for an expansion to be "around a point"? Is this point on the x-axis? Seeing as some functions are defined around the whole number line, how can they be expanded around, say, 5 or 6?

I apologise if this is in the wrong section; I didn't post it in Homework because it's concepts rather than specific problems that I need help with.

Thanks for any help :)

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# Questions regarding Taylor series

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