Remainder Estimation Theorem & Maclaurin Polynomials :[

  • Thread starter raincheck
  • Start date
  • #26
38
0
OH ok
" |Rn(x)| is less than or equal to (M/(n+1)!)|x-xo|^(n+1) "

so (1/4!)|-xo|^(4) ?
I already know xo right? I still dont know what it is though..
 
  • #27
Dick
Science Advisor
Homework Helper
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Let's call that good enuf. So R3(x)<=|x^4|/4!. (x0=0 right?). R3(x) is the size of the error you make when you when you evaluate p3(x) as an approximation to sin(x). You can see that as x gets big, the error can get big. The question you are being asked to answer is how big can x get and still keep R3(x)<0.001 (the three decimal places).
Sorry, I've got to run. I'll check in tomorrow... Good luck!
 
  • #28
38
0
so .001 = (x^4)/4! ? Would I solve for x?
Thanks so much for helping me! :]
 

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