If a sequence is bounded and monotonic then it is convergent, Mathematics

Assignment Help:

Theorem

If {an} is bounded and monotonic then { an} is convergent. 

Be cautious to not misuse this theorem.  It does not state that if a sequence is not bounded and/or not monotonic that it is divergent.  The sequence in that instance was not monotonic but it does converge.

 Note: that we can make various variants of this theorem.  If {an}is bounded above and increasing after that it converges and similarly if {an} n a  is bounded below and decreasing after that it converges.

 


Related Discussions:- If a sequence is bounded and monotonic then it is convergent

Probabily example, A sample of students had a mean age of 35 years along w...

A sample of students had a mean age of 35 years along with a standard deviation of 5 years. A student was randomly picked from a group of 200 students. Determine the probability

Sequencing, jobs a b c d e f 1 15 8 6 14 6 26 ...

jobs a b c d e f 1 15 8 6 14 6 26 2 17 7 9 10 15 22 3 21 7 12 9 11 19 4 18 6 11 12 14 17

#title LOGIC, HOW MANY ZERO ARE THERE AT THE END OF 200

HOW MANY ZERO ARE THERE AT THE END OF 200

Vectors, calculate the vector LM given l(4,3),m(-1,2)

calculate the vector LM given l(4,3),m(-1,2)

5th grade, 6 and 3/8 minus 1 and 3/4

6 and 3/8 minus 1 and 3/4

What is approximation, approximate value is the precise or the accurate val...

approximate value is the precise or the accurate value which is measured  to the actual value.., approximation is how close the measured value is to the actual value , for example

Surface area, Find the amount of sheet metal need to form a conical funnel ...

Find the amount of sheet metal need to form a conical funnel of base radius 30cm with a vertical height of 50cm, allowing for 0.5cm overlap. Find the total surface area?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd