Consider f(z)-In(1+z) =) Suppose that Te(z), the Taylor polynomial of degree 6 about a 0, is used to approximate f(z). Use the Alternating Series Estimation Theorem to determine all positive values of z for which 7a(z) is within 0.001 of the true value of f(z). Answer: 0

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Chapter2: Second-order Linear Odes
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Consider f(x)=In(1+z) - Σ
n1
(-1)"-1₂
72
Suppose that To(a), the Taylor polynomial of degree 6 about a = 0, is used to approximate f(z). Use the Alternating Series Estimation
Theorem to determine all positive values of z for which Ts(z) is within 0.001 of the true value of f(x).
Answer: 0 <=<
Note: Use at least 3 decimals of accuracy in the answer.
Transcribed Image Text:Consider f(x)=In(1+z) - Σ n1 (-1)"-1₂ 72 Suppose that To(a), the Taylor polynomial of degree 6 about a = 0, is used to approximate f(z). Use the Alternating Series Estimation Theorem to determine all positive values of z for which Ts(z) is within 0.001 of the true value of f(x). Answer: 0 <=< Note: Use at least 3 decimals of accuracy in the answer.
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