The table gives values of f(n) (0) where f is the inverse hyperbolic tangent function
Chapter 0, Problem 42(choose chapter or problem)
The table gives values of f(n) (0) where f is the inverse hyperbolic tangent function. Note that f(0) = 0. n 1 2 3 4 5 6 7 f(n)(0) 1 0 2! 0 4! 0 6! (a) Find the Taylor polynomial of degree 7 for f about x = 0. (b) Assuming the pattern in the table continues, write the Taylor series for this function.
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