an = 4n-²+2
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 38WE
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Hey,
I again have 2 sequences ( picture) i am not sure how to prove convergence for.
For the first one I tried the (ε, δ)-definition of limit but dont get anywhere with it.
Is it sufficient for the second one if i just calculate the limit (limes) of the sequence and therefore proove that its capped and as a result converges?
(ε, δ)
(ε, δ)
(ε, δ)-definition of limit
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Thank you for your solution. It has been very helpful. Unfortunatly i struggle with the understanding:
1.) how/why does it go from 5n^3-n^2/2n^4+n^3 to 5n^3-n^2/2n^3+n^2 where does the n in the denominator go?
I also struggle with understanding the steps going from the term -5/2 to the term below. Can somebody explain it to me?
Thank you in Advance!
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