Substitute into all of these to get (respectively)
Then, just substitute into the formula:
So, for example, for this term:
We'd substitute in as:
Hope this helps.
Find the first five terms of the Taylor series for f(x) = lnx about x = 1.
Okay, so I know the general formula for a Taylor series, and roughly how to do this, but I've seen conflicting stuff in my notes and whenever I've looked at examples (it's not really "conflicting", I just don't understand, I'm sure).
Could someone walk me through this one so I can make sure I understand the proper steps and everything? I really appreciate it.