Carman3
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#1
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I don't understand when to use the maclaurins/Taylor series and when to use the series with the differentials when x=0. They don't always say which series to use and sometimes just say in the question use series to find the expansion for something. Can someone tell me a general rule of when to use maclaurins/Taylor and when to use the differential series. I know you use the latter when f (x) doesn't 'expand' but it's not always obvious e.g. e^tanx I would've done e^sinx/cosx but the mark scheme uses the differential expansion with x=0
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RDKGames
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(Original post by Carman3)
I don't understand when to use the maclaurins/Taylor series and when to use the series with the differentials when x=0. They don't always say which series to use and sometimes just say in the question use series to find the expansion for something. Can someone tell me a general rule of when to use maclaurins/Taylor and when to use the differential series. I know you use the latter when f (x) doesn't 'expand' but it's not always obvious e.g. e^tanx I would've done e^sinx/cosx but the mark scheme uses the differential expansion with x=0
Maclaurin's expansion is the same expansion as Taylor's except it's not as general and it is always about x=0. They're essentially the same thing.
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Carman3
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(Original post by RDKGames)
Maclaurin's expansion is the same expansion as Taylor's except it's not as general and it is always about x=0. They're essentially the same thing.
I guess I should ve worded it better, I get the difference between maclaurins and Taylor but the last series in the book which talks about diffetentials when x =0 which is from page 118 onwards, I don't know when to use that and when to use maclaurins. So for a question like expand e^tanx I wouldve split it into e^sinx/cosx and used maclaurins on that but the mark scheme shows them using the last series from the book on that question
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RDKGames
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(Original post by Carman3)
but the last series in the book which talks about diffetentials when x =0 which is from page 118 onwards,
That IS Maclaurin's expansion though...
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Carman3
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(Original post by RDKGames)
That IS Maclaurin's expansion though...
Oh I see. Thanks
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