need help w/ remainder term

calcnoob145

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Feb 24, 2013
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I have this equation here dealing with the remainder term and the taylor series and my work is not that long because I'm stuck

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I got the (x)^n+1 because a is 0 so that just leaves x but I don't know how f^n+1 becomes (-1)^n+1 and (C) becomes e^c
and the highlighted equation below is the answer given in the textbook.

Isn't f^n+1 mean the derivative of f and f(x)=e^-x so the derivative of this is (-1)e^-x is this where the (-1) is coming from.
Could someone explain the remainder term to in regards to this equation.


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