Taylor Series

  • Thread starter pnazari
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  • #1
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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 cant 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
 

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  • #2
dextercioby
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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.
 
  • #3
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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.
 
  • #4
dextercioby
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Thankfully,the power function can easily differentiated any # of times,so this problem is really simple.


Daniel.
 

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