Question: Problem 2 (25 points). For xed 3:, consider the quantity COS(:17 + h) cos(:c) + hsin(a:)' a) What is the limit (m) of Q(a3, h)

Problem 2 (25 points). For xed 3:, consider the quantity COS(:17 + h) cos(:c) + hsin(a:)' a) What is the limit (m) of

of h > 0 to obtain the best accuracy in Q(m, h)

Problem 2 (25 points). For xed 3:, consider the quantity COS(:17 + h) cos(:c) + hsin(a:)' a) What is the limit (m) of Q(a3, h) as h > 0? b) What is the optimal value of h > 0 to obtain the best accuracy in Q(m, h) on a computer with machine epsilon 5? What is the accuracy obtained (in terms of s)?

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