Question: Could you help me solve these problems? Use power series operations to find the Taylor series at x = 0 for the given function. 5)

Could you help me solve these problems?

Use power series operations to find the Taylor series at x = 0 for the given function. 5) f(x) = X5 Cos nX A) > ( -1 ) nn 20 * 2n + 5 B) (-1) n 2nx 2n+5 n=0 (2n + 10)! n=0 (2n)! c) (-1) x 2n +5x 20+5 D) \\ (-1)7 20+5x 2n +5 n=0 (2n + 10)! n=0 (2n)! Use Taylor series to evaluate the limit. cos 9x - 1 - 81x2 6) lim 2 X-7 0 x2

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