# FP2: Taylor's Series

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#1
which of the equations for Taylors series fro I use and what's my value for a and why?
0
1 year ago
#2
(Original post by Maths&physics)
which of the equations for Taylors series fro I use and what's my value for a and why?
Isn't there only one for Taylor series?

0
1 year ago
#3
(Original post by Maths&physics)
which of the equations for Taylors series fro I use and what's my value for a and why?
There is only one Taylor's Series for the function sec^2x.

Which is ( f(x) evaluated at a) and we call this Maclaurins series when evaluated at a=0.

Notice that in Taylor's series we use so what is a equal to in ?
Last edited by NotNotBatman; 1 year ago
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#4
(Original post by RDKGames)
Isn't there only one for Taylor series?

there are different types on here: https://www.examsolutions.net/tutori...FP2&topic=1926
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#5
(Original post by NotNotBatman)
There is only one Taylor's Series for the function sec^2x.

Which is ( f(x) evaluated at a) and we call this Maclaurins series when evaluated at a=0.

Notice that in Taylor's series we use so what is a equal to in ?
thanks, how many different types are there?
0
1 year ago
#6
(Original post by Maths&physics)
thanks, how many different types are there?
The Taylor's series for a one variable function is given by the formula aforementioned, there isn't another type.
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1 year ago
#7
(Original post by Maths&physics)
there are different types on here: https://www.examsolutions.net/tutori...FP2&topic=1926
No, there is only one Taylor's series.

If then it's a special case of MacLaurin's series.
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1 year ago
#8
(Original post by Maths&physics)
there are different types on here: https://www.examsolutions.net/tutori...FP2&topic=1926
The point of that second example is to show that for some really small value epsilon you can use the taylor's series to approximate a function very close to 0, if the Maclaurins series fails (as some may not be defined). When asked to use the Taylor's series you use the one mentioned throughout this thread.
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