a) Prove that | + sin( + )| < 3/3! for all 0 < < 1.

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a) Prove that |δ + sin(δ + π)| < δ3/3! for all 0 < δ < 1.
b) Prove that if |x - π| < δ < 1, then |x + sin x - π| < δ3/3!.
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