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  2. Let p2„_ 1(x) be the ihylor polynomial of degree 2n — 1 for arctan(x) and the point of approximation 0. 1. What is the explicit form of p2n_1(x)?

Let p2„_ 1(x) be the ihylor polynomial of degree 2n — 1 for arctan(x) and the point of approximation 0. 1. What is the explicit form of p2n_1(x)?

Problem 3. We want to use the following equation to evaluate = 4 arctan(1).
The Taylor series of arctan(x) is
23 +… z2k-arctan(x) = x — —3 + —5 — —7 + = E(-1)k+1 2k —1 k=1
Let p2„_ 1(x) be the ihylor polynomial of degree 2n — 1 for arctan(x) and the point of approximation 0. 1. What is the explicit form of p2n_1(x)?


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