C. Find the radii of convergence for your two series. For 1 In(1+x²), the radius of convergence is For 2√1+x², the radius of convergence is (Enter infinity if the radius of convergence is infinite.) Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense. -
C. Find the radii of convergence for your two series. For 1 In(1+x²), the radius of convergence is For 2√1+x², the radius of convergence is (Enter infinity if the radius of convergence is infinite.) Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense. -
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 4SE: What happens to the terms an of a sequence when there is a negative factor in the formula that is...
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![C. Find the radii of convergence for your two series.
For 1 In(1 + x²), the radius of convergence is
For 2-√1+x², the radius of convergence is
(Enter infinity if the radius of convergence is infinite.)
Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec96c92b-6f3d-4438-ab12-92749402f946%2F76526364-d247-4383-a6fc-6782fa467815%2Ffrtjsto_processed.jpeg&w=3840&q=75)
Transcribed Image Text:C. Find the radii of convergence for your two series.
For 1 In(1 + x²), the radius of convergence is
For 2-√1+x², the radius of convergence is
(Enter infinity if the radius of convergence is infinite.)
Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense.
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