Use the Ratio Test to determine the radius of convergence of Σ n=1 Vn - 11" x" Then determine whether the series converges at the endpoints and find the interval of convergence if possible. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*,*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Use the Ratio Test to determine the radius of convergence of
Vn - 11"
n=1
Then determine whether the series converges at the endpoints and find the interval of convergence if possible.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*,*). Use the symbol oo for
infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is
open or closed. Enter DNE if interval is empty.)
X E
Transcribed Image Text:Use the Ratio Test to determine the radius of convergence of Vn - 11" n=1 Then determine whether the series converges at the endpoints and find the interval of convergence if possible. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*,*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty.) X E
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