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
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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: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.
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
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

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: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.
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