Question: (a) The Maclaurin series Show that E 0 = 1, E 2 = -1, E 4 = 5, E 6 = -61. Write a program

(a) The Maclaurin series

Show that E₀ = 1, E₂ = -1, E₄ = 5, E₆ = -61. Write a program that computes the E_2n from the coefficient formula in (1) or extracts them as a list from the series.

(b) The Maclaurin series

Using undetermined coefficients, show that

E2n from the coefficient formula in (1) or extracts them as a

Write a program for computing B_n.

(c) Using (1), (2), Sec. 13.6, and (22), show that tan z has the following Maclaurin series and calculate from it a table of B₀, · · ·, B₂₀:

list from the series. (b) The Maclaurin series Using undetermined coefficients, show

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