A what is the order of this approximation b suppose fx - gx


Define the operator Dh (where h > 0 ) by
Dh f(x)= [f(x+h) - f(x)]/h
Suppose f has three continues bounded derivatives and letEh f(x) be an approximation to f'(x) where
Eh F = 2 Dh f - D2h f
a) what is the order of this approximation?
b) Suppose |f(x) - g(x)| < =  for all x show that anappropriate of h lead to |f'(x)- Eh g(x)| 0 is as large as possible what is μ?

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Electrical Engineering: A what is the order of this approximation b suppose fx - gx
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