Construct a sequence of interpolating values y to /(I + VlO), where /(x) (1 + x 2 ) -1

Chapter 3, Problem 11

(choose chapter or problem)

Construct a sequence of interpolating values y to /(I + VlO), where /(x) (1 + x 2 ) -1 for 5 < x < 5, as follows: For each n = 1, 2,... , 10, let ft = 10/n and y = P(l + VlO), where P(x) is the interpolating polynomial for /(x) at the nodes Xq". xj"1 ,... , x,',"1 and xj"' = 5 + ./ft, for each 7 = 0, 1, 2,... , n. Does the sequence (yn) appear to converge to /(!+

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