Explain why the Error Bound for S N decreases by 1 16 if N is increased to 2N Compute the actual error in S N for 0 sin x dx for N 4, 8, 16, 32, and 64 Does the actual error seem to decrease by 1 16 as N is doubled

Question: Explain why the Error Bound for S N decreases by 1/16 if N is increased to 2N. Compute the actual error in S N for

Explain why the Error Bound for S_Ndecreases by 1/16 if N is increased to 2N. Compute the actual error in S_N for ∫^π₀sin x dx for N = 4, 8, 16, 32, and 64. Does the actual error seem to decrease by 1/16 as N is doubled?

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