Please solve a n2 - 12n2 +nProve that for any real number e > 0 there exists a natural number N such that2. (a) Define a sequence (an) by an =lanfor any natural number n > N. (You should explicitly find N in terms of e.)n(b) Let A =:n eShow that sup A =.2n + 1

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Answered: n2 - 1 2. (a) Define a sequence (an) by…

n2 - 1 2. (a) Define a sequence (an) by an = 2n2 +n Prove that for any real number e > 0 there exists a natural number N such that lan - N. (You should explicitly find N in terms of e.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 48E

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Question

Please solve a

n2 - 1
2n2 +n
Prove that for any real number e > 0 there exists a natural number N such that
2. (a) Define a sequence (an) by an =
lan
for any natural number n > N. (You should explicitly find N in terms of e.)
n
(b) Let A =
:n e
Show that sup A =.
2n + 1

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