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Q: Assistance to understand clearly and solve this example from Advance Calculus with the steps of...

Q: Assistance to understand clearly and solve this example from Advance Calculus with the steps of the solution to better understand, thanks.

**Please give the step by step with details to completely see how the solution came about, thanks.

1) Solve the following problems:

a) Find the sum of the following power series and determine the largest set on which your formula is valid: \sum_{n=1}^{\infty }(n+1)x^{n}=2x+3x^{2}+...

b) Let f(x) = cos(x). Find T6(x), the Taylor polynomial of f at x0 = 0 with degree 6.

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Answer #1

Do lJe knoo 2. 2, h디 2 2. 2 2 n+ Here s lim仟 /XI <l +n en series converges lue wil check fo ie. *-) x 2 Buut m(-(n+)) does not exist h→ CO Σ(mnnt) diverges Given seryesf(X)--Sini C4) 3 2. 2. 싯 2

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