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Lagrange error bound

AP.CALC: LIM‑8 (EU), LIM‑8.C (LO), LIM‑8.C.1 (EK)
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Problem

Estimating cosine, left parenthesis, 1, point, 3, pi, right parenthesis using a Taylor polynomial about x, equals, 1, point, 5, pi, what is the least degree of the polynomial that assures an error smaller than 0, point, 001?
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