- #1
santais
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Homework Statement
I've been given the assignment to make a linearization of the function f(x) = Sin(x) e^(x) by using Taylors polynominal of 3. degree.
Next is to find the approximately error of f(x) when |x| < 1 (expressed as a function of x).
Homework Equations
So finding the linearization is rather easy to get through, however finding the estimated error is where I just can't figure it out.
The formula that I've been given from my book is as follows:
[itex](f''(s)/2)(x-a)^2[/itex]
for some s lying between a og x. But finding the s value is just something, I have no idea how to figure out. I tried to search some and found out that you could just find the maximum y- value of your function, within that interval, and put it instead of f''(s). Tried that and got a very unexact approximation.
Hope some of you have an idea, how to solve this problem :)