We want to use the following equation to evaluate : r=4arctan(1). The Taylor series of arctan(z)...

  

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We want to use the following equation to evaluate : r=4arctan(1). The Taylor series of arctan(z) is arctan(r) = 2- 3 00 k1 2k-1 Let P2n-1(2) be the Taylor polynomial of degree 2n-1 for arctan(z) and the point of approximation 0. 1. What is the explicit form of p2n-1(z)? We want to use the following equation to evaluate : r=4arctan(1). The Taylor series of arctan(z) is arctan(r) = 2- 3 00 k1 2k-1 Let P2n-1(2) be the Taylor polynomial of degree 2n-1 for arctan(z) and the point of approximation 0. 1. What is the explicit form of p2n-1(z)?