Using the known geometric series representation = xn, valid for ...

[dbose]

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

[joneynes]

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[dbose]

Great answer, keep it coming

[JCABRERA33]

Thanks for the timely response, appreciate it