Find the Taylor series of f(x) = Choose the Taylor series. 1 1 X 1 X 1 - x 1-x = = = (-1)"+1 Σ(1)", n=0 n=0 ∞ n=0 ∞ 6n+1 (x-7)" (-1)". 1 1- x (x-7)" 6+1 (x - 7)"+1 6" Σ(1)"+1 n=0 (x - 6)" 7n+1 The expansion is valid for: centered at c = 7. Identify the interval on which the expansion is valid. (Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: 21a Determine the Taylor series generated by the function f(x) = 6sinx about the point a = (-1)" ·…

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A: As per guide line we have to solve only one question at a time.

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A: The solution is shown in step-2

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Q: Find the Taylor series of f(x) = Choose the Taylor series. O 1-x 1 1- x 1 1-x - 1-x = = = || = ∞ Σ…

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Q: Find the Taylor Series generated F(x) = ११० (7-X)12 {'(x) = (2x)10 9 (7-X)10 90 {"(x) = (7-x)" by…

A: To find the Taylor series generated by fx=17-x9 at x=6.

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