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Help with c. Inverse Tangent Series Problem: The series x3 P(X) = X - + + . 3 converges to tan 'x for certain values

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Help with c.

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Inverse Tangent Series Problem: The series x3 P(X) = X - + + . 3 converges to tan 'x for certain values of x. a. Find the open interval of convergence of the series. b. On the same screen, plot the graphs of tan x and the fourth and fifth partial sums of the series. How do the graphs confirm what you found algebraically in 17a. c. Evaluate the fourth partial sum of the series for x = 0.1. d. Find the value of the tail of the series after the fourth partial sum by comparing your answer to 17c with the value of tan 10.1 you obtain with your calculator. e. Show that the remainder of the series in 17d is less in magnitude than the absolute value of the first term of the tail of the series. 4y

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