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Revision 401 Revision 402
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31$d = random(2,6,2) ; 31$d = random(2,6,2) ;
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33BEGIN_TEXT 33BEGIN_TEXT
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35Let $$T_{d}(x)$$ be the sixth degree Taylor polynomial of the function 35Let $$T_{d}(x)$$ be the Taylor polynomial of degree $$d)\ for the function 36\( f(x) = \cos(x)$$ at $$a = 0$$. Suppose you approximate $$f(x)$$ by $$T_{d}(x)$$. If $$|x| \leq 1$$, what is the bound for your error of your estimate? 36$$f(x) = \cos(x)$$ at $$a = 0$$. Suppose you approximate $$f(x)$$ by $$T_{d}(x)$$. If $$|x| \leq 1$$, what is the bound for your error of your estimate?
37$BR$BR 37$BR$BR
38$BITALIC Hint: use the alternating series approximation.$EITALIC $BR$BR 38$BITALIC Hint: use the alternating series approximation.$EITALIC $BR$BR
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