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Author Question: A function f(x) satisfies the following conditions:f(1) = 0,f(n)(1) = n for n = 1, 2, and 3, 3x ... (Read 269 times)

809779

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on: May 26, 2021
A function  f(x)  satisfies the following conditions:

f(1) = 0,f(n)(1) = n  for  n = 1, 2, and 3,
3x  ≤  f(4)(x)  ≤  9x  provided  x  ≥  1.

(a)What is the Taylor polynomial  P3(x)  of degree 3  for  f(x)  about  x = 1?
(b) What is the approximate value for  f(3/2)  supplied by  P3(x)?
(c) Based on the bounds for  f(4)(x)  given above, what is the smallest interval that you can be sure
contains the value  f(3/2)?
(d) Based on your answer to (c), what is the best approximation you can give for  f(3/2)?
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Marked as best answer by 809779 on May 26, 2021

tjayeee

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Reply #1 on: May 26, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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809779

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Reply 2 on: May 26, 2021
Great answer, keep it coming :)

alvinum

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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