Let f be a function that has s'(0) = S(0) -- derivatives of all orders on the interval (-1,1). Assume f(0) = 1, " (0)=, and (4) (x) ≤ 6 for all x in the interval (-1,1). (a) Find the third-degree Taylor polynomial about x = 0 for the function.

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Chapter2: Second-order Linear Odes
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9. Let f be a function that has derivatives of all orders on the interval (-1,1). Assume f(0) =1,
(¹) (x) ≤ 6 for all x in the interval (−1,1).
ƒ'(0) =
*(0) = -1, " (0)=, and
(a) Find the third-degree Taylor polynomial about x = 0 for the function f.
Transcribed Image Text:9. Let f be a function that has derivatives of all orders on the interval (-1,1). Assume f(0) =1, (¹) (x) ≤ 6 for all x in the interval (−1,1). ƒ'(0) = *(0) = -1, " (0)=, and (a) Find the third-degree Taylor polynomial about x = 0 for the function f.
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