29. Which of the following is a power series expansion of 6 X 2n X x (A) 1 + + + + + 2! 6! (2n)! 6 X x (B) 1 + +(−1)". 2! 4! 6! (C) x+ + 3! 5! 3 (D) x + 3! 5! 2n X + (2n)! + + + 7! (2n+1)! X x7 ¸2n+1 + + (− 1)" - + 7! (2n+1)! ex + ex 2 ?

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Q: verify that the series diverges

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A: on using binomial theorem we get the coefficient of x^7 that is

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