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Use of Maclaurin series for single maths

For questions in single maths such as "find the binomial expansion of ...", are you allowed to use Maclaurin series instead of binomial expansion?

Reply 1

Original post
by Glaurung
For questions in single maths such as "find the binomial expansion of ...", are you allowed to use Maclaurin series instead of binomial expansion?

Have you an example? The binomial series can be regarded as a particular case of a maclaurin series, but is usually given rather than derived. So using calculus/maclaurin to derive the binomial series would work, but youre deriving something thats given to you in the formula book?

Reply 2

Original post
by mqb2766
Have you an example? The binomial series can be regarded as a particular case of a maclaurin series, but is usually given rather than derived. So using calculus/maclaurin to derive the binomial series would work, but youre deriving something thats given to you in the formula book?

E.g. for finding the first three terms of the binomial expansion of 1 / sqrt(4+x), would it not be easier just to find the derivatives at zero and use Maclaurin expansion? In any case, would I receive any marks for doing it this way?

Reply 3

Original post
by Glaurung
E.g. for finding the first three terms of the binomial expansion of 1 / sqrt(4+x), would it not be easier just to find the derivatives at zero and use Maclaurin expansion? In any case, would I receive any marks for doing it this way?

Using the (infinite) binomial series for that question is pretty much a write down and theres obviously no need to evaluate the derivatives. Whether youd get any marks using a maclaurin/taylor would depend on exactly what the question said. It seems to refer to the binomial expansion so not sure.
(edited 9 months ago)

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