Mathematics Exam > Mathematics Questions > Which of the following series is divergent?a)...
Start Learning for Free
Which of the following series is divergent?
- a)
- b)
- c)
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following series is divergent?a)b)c)d)None of theseCorrec...
The series Sigma [sin(1/n)] is a divergent series, because
lim(n-->inf.)[sin(1/n)]/(1/n) = 1, which is nonzero, which in turn is a consequence of lim(x-->0)[sin(x)]/x = 1. Hence the two series Sigma [sin(1/n)] and Sigma(1/n) have the same convergence behaviour by limit comparison test, for series of positive terms But we know that the harmonic series Sigma(1/n) diverges. Hence the given series Sigma[sin(1/n) also diverges.
Note that for all 1 </= n, 0 < (1/n) </= 1 < π, and so sin(1/n) is positive i.e. the given series is of positive terms.
Most Upvoted Answer
Which of the following series is divergent?a)b)c)d)None of theseCorrec...
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following series is divergent?a)b)c)d)None of theseCorrec...
B option sin1/n^2 is absolutely convergent, it is not divergent,..by comparison test.....
|
Explore Courses for Mathematics exam
|
|
Similar Mathematics Doubts
Question Description
Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following series is divergent?a)b)c)d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup