eigas ang us belges the bus digast laup (a) Use Strategy D5 to show that the sequence (an) is null, where xorem dgis ads to ano an = 1 √n+1-1 anoq
eigas ang us belges the bus digast laup (a) Use Strategy D5 to show that the sequence (an) is null, where xorem dgis ads to ano an = 1 √n+1-1 anoq
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:van tigh as colguns le bus digust supe
(a) Use Strategy D5 to show that the sequence (an) is null, where
they
(
(b)
an
Determine whether the sequence
2n! + n²
2n + 2n²
an
1
√n+1-1*
=
converges, naming any result or rule that you use. If the sequence does
converge, then find its limit.

Transcribed Image Text:Strategy D5 Null/non-null sequence
.To show that the sequence (an) is null,
rearrange the inequality |an| < ɛ to find an
integer N (generally depending on ɛ) such
that an <ɛ, for all n > N.
To show that the sequence (an) is not null,
find one value of e > 0 for which there is no
integer N such that an < e for all n > N.
E
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Part (b) please

Transcribed Image Text:van tigh as colguns le bus digust supe
(a) Use Strategy D5 to show that the sequence (an) is null, where
they
(
(b)
an
Determine whether the sequence
2n! + n²
2n + 2n²
an
1
√n+1-1*
=
converges, naming any result or rule that you use. If the sequence does
converge, then find its limit.
Solution
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