Power series

  • #1
sportlover36
24
0
how can i find a power series representaion of d/dx (1/x-9)
 

Answers and Replies

  • #2
mrbohn1
97
0
You can find an approximation by calculating the Taylor series around some point (a=0 would probably be easiest). All you need to do is find derivatives of the function up to the nth derivative, depending on how accurate you want the representation to be, and substitute them into the general series given http://en.wikipedia.org/wiki/Taylor_series" [Broken].
 
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  • #3
mathman
Science Advisor
8,059
540
how can i find a power series representaion of d/dx (1/x-9)
It looks like you may have some sort of a typo. At x=0, 1/x is infinite.
 
  • #4
sportlover36
24
0
I mean for it to say d/dx (1/(x-9)) sorrry
 
  • #5
jav
35
0
how can i find a power series representaion of d/dx (1/x-9)

This expression can be written as -1/9 * d/dx (1/(1-x/9)). Then think geometric series. Can you see it from there?
 

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