Question

Anyone know where I can find a list of a bunch of different functions represented with an infinite sum of mclaurin series?

Answer 1

For example, I want to see more of these, like for sine, cosine, etc...\[e^x=\sum_{k=0}^{\infty}x^k/k!\]

Answer 2

i hope this will be helpful
http://sinesandcosines.com/taxonomy/term/97

Answer 3

Kind of...

Answer 4

Well, there's this, a nice overview of the taylor series of all the trigonometric functions:
http://scipp.ucsc.edu/~haber/ph116A/taylor11.pdf

And then there's these:
http://people.math.sfu.ca/~cbm/aands/abramowitz_and_stegun.pdf
http://dlmf.nist.gov/

If a function exists, you can find it's taylor series in those two. You'll probably prefer the second source.

Note: you will not know what 80% of those functions are. (I don't).