fn = = 2 n²+n−1 3n2-10

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
Chapter5: Factoring Polynomials
Section5.8: Factoring Pattern For X2+bx+c, C Negative
Problem 55WE
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For each sequence, determine the limit and prove your claim.

Analysis. Please prove using the epsilon method

fn =
=
2
n²+n−1
3n2-10
Transcribed Image Text:fn = = 2 n²+n−1 3n2-10
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Follow-up Question

Hi! Thank you for helping me! Can you please explain why we claim for all n>=3 here?

Let €70
For
be arbitrany number.
| fn
ам пуз
w/-
Transcribed Image Text:Let €70 For be arbitrany number. | fn ам пуз w/-
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Follow-up Question

Why here is < ?

(3n+7)/(9n^2 - 49) should be smaller than (3n+7)/(9n^2 - 30) right?

3n+7
con2-30)
3n2 +7
днг -49
(3n +7)
(3n+7) (3n-7)
Transcribed Image Text:3n+7 con2-30) 3n2 +7 днг -49 (3n +7) (3n+7) (3n-7)
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