Question

Help with a taylor series problem

Answer 1

http://gyazo.com/0dd7dfa6e8f57d9f672b5686c04b7060

Answer 2

I'm not sure what to do when it says about the point x = 0 also

Answer 3

The Taylor series for an infinitely-differentiable function \(f(x)\) centered at \(x=c\) is
\[f(x)=\sum_{k=0}^\infty \frac{f^{(k)}(c)}{k!}(x-c)^k\]
In this case, \(c=0\). Judging by the phrasing of the question, it looks like you have to find the approximation for \(\large e^{\pi/4}\) using the series above. Poorly worded, in that case.