What do mean by Taylors? If you can provide a definition for whatever "Taylors" is then perhaps we can make some progress.
"Find whether y_p - y_(p-4) = h/3 * (8f_(p-1) - 4f_(p-2) + 8f_(p-3)) is convergent."
I really have no idea how to get this going. I need help. I was told by a classmate to expand this in Taylor's, but I have no clue how Taylor's could possibly enter the picture here. Please help.