Question

Someone please bless me. Will give award and fan you for sure:) Use Taylor's Theorem to obtain an upper bound for error of the approximation cos(0.2) is approximately equal to [1 - ((0.2)^2/2!)].

Answer 1

because the series for cosine alternated, the error is no larger than the next term

Answer 2

the next term is \(\frac{(.2)^4}{4!}\) and that is the largest possible error

Answer 3

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