To estimate
a student takes the first five nonzero terms of the Taylor series for f(x) = 1/(1 + x2) at 0 and integrates term by term. He obtains the estimate 3.724. A second student doubts the estimate. She claims that since 1/(1 + x2) ≤ 1 for 0 ≤ x ≤; 1.5, the value of the
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