Multiple choice

The error in $\frac{d}{dx}f(x) |_{x - x_0} = \frac{f(x_0 + h) - f(x_0 - h)}{2h}$, is 2 x 10 ^-3. The values of x₀ and f (x₀) are 19.78 and 500.01, respectively. The corresponding error in the central difference estimate for h = 0.02 is approximately.

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The error in $\frac{d}{dx}f(x) |_{x - x_0} = \frac{f(x_0 + h) - f(x_0 - h)}{2h}$, is 2 x 10 -3. The values of x0 and f (x0) are 19.78 and 500.01, respectively. The corresponding error in the central difference estimate for h = 0.02 is approximately.