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# Using Higher Derivatives to Approximate Functions Assistance

Posted 11 years ago
 I have been working on this lab for my Calc I class and I can't seem to get what I want. It is asking me to find the quadratic and cubic approximations to f(x)=(e^-x)cos(Pi)x near the point x=1. So i ran through what the procedure wants and Im supposed to get a quadratic tangent line to the function. I keep getting this parabola which seems to have no correlation with the diagram in the procedure of how it is supposed to look like. The procedure is attached to this post and the Lab is 5.3. Can somebody explain to me what I am doing wrong or if Im doing this right .  Attachments:
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Posted 11 years ago
 With f[x_]:=Exp[-x] Cos[Pi x], calculate the Taylor series f=f[1]+{x-1)f' ' [1]+(1/2)(x-1)^2 f ' ' [1]+(1/3!){x-1)^3 f ' ' ' [1] + .  . .
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