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Author Question: Given f(x) = ln(3x + 1)(a) Find Taylor's polynomial of degree n = 2 for f about c = 0.(b) Use part ... (Read 66 times)

kodithompson

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Question 1

Calculate the Maclaurin series for the function  G(x)  =   and calculate G(1) correct to 5 decimal places.
◦ G(x) = ,  G(1) ≈ 0.31024
◦ G(x) = ,  G(1) ≈ 0.31025
◦ G(x) = ,  G(1) ≈ 0.31026
◦ G(x) = ,  G(1) ≈ 0.31029
◦ G(x) = ,  G(1) ≈ 0.31031

Question 2

Given f(x) = ln(3x + 1)
(a) Find Taylor's polynomial of degree n = 2  for  f about  c = 0.
(b) Use part (a) to estimate the value of ln(1.3).
(c) Estimate the maximum absolute error involved in the approximation obtained in part (b) above.


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Marked as best answer by kodithompson on May 26, 2021

jazzlynnnnn

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kodithompson

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Reply 2 on: May 26, 2021
Thanks for the timely response, appreciate it


patma1981

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Reply 3 on: Yesterday
Excellent

 

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