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Author Question: Using the known geometric series representation = xn, valid for -1 < x < 1, find a power series ... (Read 111 times)

dbose

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on: May 26, 2021

Question 1

The power series (x - 5) n  has radius of convergence  R = . Assuming  exist,
find the radius of convergence of the power series (3x-7) n.
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◦ ∞
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Question 2

Using the known geometric series representation   = xn,  valid for  -1 < x < 1, find a power series representation for  f(x) = ln ((1+x)2)  in powers of  x. On what interval does the series converge to  f(x)?
◦ f(x) = ,  for  -1 ≤ x ≤ 1
◦ f(x) = ,  for  -1 < x < 1
◦ f(x) =  ,  for  -1 < x ≤ 1
◦ f(x) = ,  for  -1 ≤ x < 1
◦ f(x) =  ,  for  -1 < x ≤ 1
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Marked as best answer by dbose on May 26, 2021

joneynes

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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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dbose

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Reply 2 on: May 26, 2021
Wow, this really help

tkempin

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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