How do I find the Taylor series of ln(x) about x=e?

[pnazari]

I was wondering if someone can give me some tips for finding the taylor series of functions. For example this was a test question we had:

Find the taylor series of f(x)=ln(x) about x=e

I know how to start it off but I get confused halfway through and can't seem to figure out what to do. Are there some simple steps? Any help/tips will be appreciated.

For me, this is the hardest section of Calc. II

 

[dextercioby]

There aren't really any advice here.You just make sure the function is analytical in that point,which,in this case is...

So differentiate and write that series...

Daniel.

 

[whozum]

Find as much information as you can about f(x), usually f(e), f'(e) f''(e) if u can get that far. then find a pattern from there and write a series.

 

[dextercioby]

Thankfully,the power function can easily differentiated any # of times,so this problem is really simple.


Daniel.