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Big O notation?

ted9308 · 2013-04-30 16:01:07

How do you express the taylor-maclaurin series terms using big o notation?The question in context asks for the following.Can anyone explain what it is and how to find it? "Find the first two non-zero terms in the Taylor-Maclaurin series of (i) tan x and Use big-O notation to indicate the order of the remaining terms in the…

30-04-2013 4:01pm

#1

ted9308

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How do you express the taylor-maclaurin series terms using big o notation?The question in context asks for the following.Can anyone explain what it is and how to find it? "Find the first two non-zero terms in the Taylor-Maclaurin series of (i) tan x and Use big-O notation to indicate the order of
the remaining terms in the series"

Right so I get x+x^3/3 as the first two non zero terms which i believe is correct

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#2 30-04-2013 8:10pm

MathsManiac

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Explanation here:
http://en.wikipedia.org/wiki/Big_O_notation

In your case, since the next term is in x^5, and all subsequent terms are higher powers than this, you can write:

tan(x) = x + x^3/3 + O(x^5)

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