hi all,

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:

which gives:

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.