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How to Determine if a Sequence is Monotonic and Bounded: Example with n/(n^2 + 1)

In this video we look at a sequence and determine if it is bounded and monotonic. We use the definition of what it means for a sequence to be bounded to show that it is bounded, and we use the derivative to show it is monotonic. I hope this helps. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page:   / themathsorcerer   There are several ways that you can help support my channel:) Consider becoming a member of the channel:    / @themathsorcerer   My GoFundMe Page: https://www.gofundme.com/f/support-ma... My Patreon Page:   / themathsorcerer   Donate via PayPal: https://paypal.com/donate/?cmd=_s-xcl... ***********Udemy Courses(Please Use These Links If You Sign Up!)************ Abstract Algebra Course https://www.udemy.com/course/abstract... Advanced Calculus Course https://www.udemy.com/course/advanced... Calculus 1 Course https://www.udemy.com/course/calculus... Calculus 2 Course https://www.udemy.com/course/calculus... Calculus 3 Course https://www.udemy.com/course/calculus... Calculus Integration Insanity https://www.udemy.com/course/calculus... Differential Equations Course https://www.udemy.com/course/differen... College Algebra Course https://www.udemy.com/course/college-... How to Write Proofs with Sets Course https://www.udemy.com/course/how-to-w... How to Write Proofs with Functions Course https://www.udemy.com/course/how-to-w... Statistics with StatCrunch Course https://www.udemy.com/course/statisti... Math Graduate Programs, Applying, Advice, Motivation https://www.udemy.com/course/math-gra... Daily Devotionals for Motivation with The Math Sorcerer https://www.udemy.com/course/daily-ma... Thank you:)