Question: (a) For integer n 2 0, let In = tan (r)dr. India is helped by his friend Geonwoo who suggested the known inequality 0 Las

(a) For integer n 2 0, let In = tan" (r)dr. India is helped by his friend Geonwoo who suggested the known inequality 0 Las x -> infinity) A - A - I BIUSXX Styles Font Size Words:0 (b) India remembers from the lectures of Dr Evil that In satisfies the reduction formula I2n+1 = 2 - I2n-1, n21. (1) India calculates 1 and writes the answer as log A A Enter the value of A in the box below: A = (il) By considering 12 + 1 for increasing n, starting with ]1, and assuming the limit (1) from (a), India obtains the convergent series: log A = 1 + aj tag tag + ... where a1, a2, a3, . . . are real numbers. Specifically, 01 09 = ag =

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