E-AP03 · The next term alone is not the proof
Consider \((1-x)^6\). Retain terms through \(x^3\).
Find the retained polynomial P and the exact remainder R.
Estimate \(0.96^6\) using P, and give the exact signed remainder.
Prove that this truncation underestimates the exact value for every \(0<x\le0.1\).
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