Which of the following statements are true? Select one or more: O O O a. If an is convergent, then limn→∞ an exists. b. If limn→∞ an = 0, then the series 1 an converges. c. The series d. If 0≤an≤ converges. m=1 -1 an converges. f. The series VnEN, then the series e. If the series-1 (an + bn) converges, then also the series 1 an and 1 bn converge. -1 Σ1 1 n 2023 converges

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which of the following statements are true?
Select one or more:
O
O
O
0
a. If an is convergent, then limn→∞ an
exists.
b. If limn→∞ an = 0, then the series 1 an
converges.
c.
The series
d. If 0≤an≤
converges.
VnEN, then the series
m=1
-1 an converges.
f. The series -1
e. If the series-1 (an + bn) converges, then also
the series Σα 1 an and Σα 1 bn converge.
1
2023
converges
Transcribed Image Text:Which of the following statements are true? Select one or more: O O O 0 a. If an is convergent, then limn→∞ an exists. b. If limn→∞ an = 0, then the series 1 an converges. c. The series d. If 0≤an≤ converges. VnEN, then the series m=1 -1 an converges. f. The series -1 e. If the series-1 (an + bn) converges, then also the series Σα 1 an and Σα 1 bn converge. 1 2023 converges
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