**Section 8.8, Q. 4**

*Find the Taylor series expansion of the function ** about the point **.*

(This question was asked at Friday’ tutorial but, with one eye on the answer given, I was unable to do it. Having looked at the problem again I’m sure that the question should have been:)

*Find the Taylor series expansion of the function ** about the point **.*

(I have indicated this issue to Prof. Stynes)

**Solution**

The Taylor series of any infinitely differentiable function about a point is given by the power series:

Computing the first few derivatives of :

This is valid for . At , . Hence we have;

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