Q58
The error in . d dx f ( x ) |_ x = x_0 for a continuous function estimated with h = 0.03 using the central difference formula . d dx f ( x ) |_ x = x_0 = f ( x_0 + h ) - f ( x_0 - h )2 h, is 2 × 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
The error in for a continuous function estimated with h = 0.03 using the central difference formula is 2 × 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
A.
1.3 × 10-4
B.
3.0 × 10-4
C.
4.5 × 10-4
D.
9.0 × 10-4
AnswerAnswer: Option D
Solution
Answer: Option D
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