Fill in the blanks in the following proof. Claim: Let n Proof: Take € = = 1+ for all n € N. Then an does not converge to zero. 7. Then |NEN we take n = 1 + ² = 1 + 1 ≥ € which completes the proof. for all N+1 0 N-1 2 . Then n we choose 1 N and we verify:
Fill in the blanks in the following proof. Claim: Let n Proof: Take € = = 1+ for all n € N. Then an does not converge to zero. 7. Then |NEN we take n = 1 + ² = 1 + 1 ≥ € which completes the proof. for all N+1 0 N-1 2 . Then n we choose 1 N and we verify:
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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Transcribed Image Text:Fill in the blanks in the following proof.
Claim: Let ₂ = 1 + 1/2 for all n € N. Then
n
Proof: Take € =
. Then
|1 + //| | = 1 + / ≥ €
which completes the proof.
for all
N+1
0
does not converge to zero.
NE Nwe take n =
N-1
2
. Then n
we choose
1
N and we verify:
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