SOLUTION: The series v + v^2 + v^3 + . . . has a limiting sum w. a. Write w in terms of v. b. Find v in terms of w. c. Hence find the limiting sum of the series w − w^2 + w^3 − .

Question 1175119: The series v + v^2 + v^3 + . . . has a limiting sum w.
a. Write w in terms of v.
b. Find v in terms of w.
c. Hence find the limiting sum of the series w − w^2 + w^3 − . . . , assuming that ∣w∣ < 1.
d. Test your results with v = 1/3
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
The series v + v^2 + v^3 + . . . has a limiting sum w.
a. Write w in terms of v.

b. Find v in terms of w.

c. Hence find the limiting sum of the series w − w^2 + w^3 − . . . , assuming
that ∣w∣ < 1.

d. Test your results with v = 1/3







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Edwin

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