Question: Consider the Taylor expansion of the sin function sin (x) s - x^3/3! + x^5! -^7/7! + ... As you can see, it is also

 Consider the Taylor expansion of the sin function sin (x) s

Consider the Taylor expansion of the sin function sin (x) s - x^3/3! + x^5! -^7/7! + ... As you can see, it is also a sum of terms with a couple of twists. First, the signs alternate, second and the terms for even numbers are missing. The formula in sigma notation is sin(x) sigma_i=0^n (-1)^i/(2 .i + 1)! X^2I + 1where the order summation contains the first n + 1 terms of the expansion. Write a linear time ML function sinappx that, given a value n, computes in linear time in n, the Taylor expansion up to order n As you surely realized, computing (for instance factorials from scratch for each term would not deliver the desired complexity. fun sinappx n x

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