I fear this will be long, but i'll try to keep it short.
the main question I am having trouble with is:
Evalutate f(0), f'(0), f''(0), f'''(0) for the function
and thus find the Taylor Polynomials of degree 3 about the center c = 0 for this function.
I've been having difficulty with the Taylor Polynomials - here is what I have:
Therefore in the Taylor Polynomial we get:
from here I start trying to find the notation to express this. I can get as far as:
As you can probably tell from the '...' that is the part I am having difficulty with. Hopefully my conundrum makes sense.