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    http://imgur.com/FEwgDvA

    Why do they have -e^4(x+4) ? Surely its -e^4(x). I mean it has to be of the form f '(a)x , as the below formula indicates:

    http://imgur.com/d6kUF10


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    (Original post by GPODT)
    http://imgur.com/FEwgDvA

    Why do they have -e^4(x+4) ? Surely its -e^4(x). I mean it has to be of the form f '(a)x , as the below formula indicates:

    http://imgur.com/d6kUF10


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    There are different forms of the Taylor expansion that's all - the most general is written in terms of powers of (x+a) (or (x-a) in some texts).
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    The question indicates in powers of (x + 4) so x \rightarrow (x + 4).


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    (Original post by davros)
    There are different forms of the Taylor expansion that's all - the most general is written in terms of powers of (x+a) (or (x-a) in some texts).
    (Original post by Joshmeid)
    The question indicates in powers of (x + 4) so x \rightarrow (x + 4).


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    So the question will always tell you what power to use? Thanks
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    (Original post by GPODT)
    So the question will always tell you what power to use? Thanks
    The question says "find the Taylor series in powers of x+4". Therefore the terms in your series involve x+4, (x+4)^2, etc.
 
 
 
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