10. Test for the convergence of the series X Answer: Convergent. 1 + x - x² x3 + 1 + x² 1 + x³ - *** (0 < x < 1).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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10. Test for the convergence of the series
X
x²
1 + x 1 + x²
+
Answer: Convergent.
11. Show that the series given below converges.
1.2
x3
1 + x³
- ***
3.4
5.6
+
32.42 52.62 7².8²
(0 < x < 1).
Transcribed Image Text:10. Test for the convergence of the series X x² 1 + x 1 + x² + Answer: Convergent. 11. Show that the series given below converges. 1.2 x3 1 + x³ - *** 3.4 5.6 + 32.42 52.62 7².8² (0 < x < 1).
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