Taylor series derivative

  • Thread starter hunter55
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  • #1
hunter55
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Homework Statement



Using Taylor expansion, show that the one-sided formula (f_-2-4f_-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.



The Attempt at a Solution



Can some1 help me get starte, im greatly confused
 

Answers and Replies

  • #2
Dick
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Taylors expansion lets you relate f(x+h) to powers of h and derivatives of f, right? Use it. If you have something like f(x-3h) just substitute -3h for h in the taylor expansion of f(x+h). I don't think that expression of (Oh^2). Are you sure you copied it correctly?
 

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