I have no idea what you are doing.
Just compute .
And and .
I have found the first 5 Taylor polynomials about x=0 for cosh(x). Being p0=1, p1=1, p2=1+ , p3=1+ , p4=1+ + .
How do I Find the Maclaurin series for cosh(x)?
I can see it should be something like
but how can I show a methodic way to get there from the polynomial approximations?
Also, how do I use Landau's big O notation to find
I simplify this with identity to
then change them to Maclaurin approximations with big O error.
How do I simplify that expression to get the limit?
Thank you for any help.
I know how to do the big O problem now.. it was trivial. divide through by x^2 and let x tend to 0. yielding the limit -4/9
I know how to get the polynomials, I've worked them out. I need a way to find the series from the polynomials. I don't want to just write down. This is the series I found for cosh(x) through google which makes sense.
(there should be an infinity symbol above the sum)
I want to get to that series from the Maclaurin polynomials which I have calculated if possible.