Mathematics Exam  >  Mathematics Questions  >  If for any e > 0, there exists a positive ... Start Learning for Free
If for any e > 0, there exists a positive integer m such that I an - am | < e whenever n ≥ m . The sequence an > is called
  • a)
    monotonic sequence
  • b)
    convergent sequence
  • c)
    cauchy sequence
  • d)
    divergent sequence
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If for any e > 0, there exists a positive integer m such that I an-...
For any e, there exists a positive real number d such that if the distance between x and y is less than d, then the absolute value of f(x) - f(y) is less than e.
Free Test
Community Answer
If for any e > 0, there exists a positive integer m such that I an-...
First of all here e should replaced by 'epsilon' in the question.The above question states that the sequence is convergent and we know that a convergent sequence of real number is a Cauchy sequence.So the correct answer is option (c ).
Explore Courses for Mathematics exam
If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer?
Question Description
If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. 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 If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If for any e > 0, there exists a positive integer m such that I an- am |< e whenever n ≥ m . The sequence an > is calleda)monotonic sequenceb)convergent sequencec)cauchy sequenced)divergent sequenceCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev