(1 point) Consider the function f(x) = Ax^3 tan^ - 1 (Bx^3), with A, B not = 0.
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Question
(1 point) Consider the function f(x) = Ax^3 tan^ - 1 (Bx^3), with A, B not = 0. This function can be represented by a Maclaurin series Sum n = 0 and infinity cnx^n. Some, but not all, of the coefficients cn are equal to zero. Answer the following: (i) Which power of x is the first one to have a nonzero coefficient? (ii) What is the coefficient for the term you found in (i), in terms of A and B? (iii) Which power of x is the second to have a nonzero coefficient? (iv) What is the coefficient of the term you found in (iii), in terms of A and B? (v) Which power of x is the third one to have a nonzero coefficient? (vi) What is the coefficient of the term you found in (V), in terms of A, and B?Explanation / Answer
i) 6
ii) AB
iii) 9
iv) (-AB6 )/3
v) 15
vi) (AB15)/5
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