Year 12s: what will be the first way you research your future options? >>

Further Maths Help

Anyone fancy explaining Maclaurin and Taylor series to me? It's going straight over my head.

Its an expansion of any f(x)

a maclaurin series is just a taylor series where a=0 i.e. the expansion is centred (most accurate) around 0

To expand f(x) into a taylor series form simply follow the expansion formulea much as you would with the binomial expansion.

The expansion contains many f'(a) and F'''(a) and derivitives such as that which makes it slightly more tricky than binomial expansions

Reply 2

connor ellis

Do you struggle with questions such as
f(x) = sinx
expand into a taylor series with acending powers of (x+3)

or the ones that come as a solution to a differential equation?

The idea is you get numbers for f(a), f'(a), f''(a), f'''(a) (however many terms it asks for in the question)
and place them into the taylor expansion formulea

(edited 13 years ago)

Reply 3

SN-RAVER

The first type of question, mainly. Cheers for your help its started to go in a bit more now.