The Error Bound for M N is proportional to 1/N 2 , so the Error Bound decreases
Question:
The Error Bound for MN is proportional to 1/N2, so the Error Bound decreases by 1/4 if N is increased to 2N. Compute the actual error in MN for ∫π0 sin x dx for N = 4, 8, 16, 32, and 64. Does the actual error seem to decrease by 1/4 as N is doubled?
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The exact value of the integral is S To compute M4 we have Ax 04 74 and ...View the full answer
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