(a) Show that the truncation error for the centered difference approximation of the
Chapter 6, Problem 6.2.1(choose chapter or problem)
(a) Show that the truncation error for the centered difference approximation of the first derivative (6.2.13) is (x) 2f(3)/6. [Hint: Consider the Taylor series of g(x) = f(x + x) f(x x) as a function of x around x = 0.] (b) Explicitly show that (6.2.13) is exact for any quadratic polynomial.
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