Set an where r E R is a real number. Prove that ɑn converges to 0 if (-1, 1), cônverges tó 1 if r = 1, and diverges otherwise.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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Set an = r", where r E R is a real number. Prove that an converges to 0 if r E (-1, 1), converges to
1 if r = 1, and diverges otherwise.
Transcribed Image Text:Set an = r", where r E R is a real number. Prove that an converges to 0 if r E (-1, 1), converges to 1 if r = 1, and diverges otherwise.
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