Choose the answer that best completes the proof that inf(A)=0 where A = for all nEN n? Firstly, we would show that o is a lower bound for A by noticing that 0s Then. O None of these O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows, from the Archimedean Property, that there exists NEN such that 1 0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows that we can choose EA such that W 0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows, from the Archimedean Property, that there exists NEN such that

Choose the answer that best completes the proof that inf(A)=0 where A = for all nEN n? Firstly, we would show that o is a lower bound for A by noticing that 0s Then. O None of these O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows, from the Archimedean Property, that there exists NEN such that 1 0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows that we can choose EA such that W 0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows, from the Archimedean Property, that there exists NEN such that

Name: Choose the answer that best completes the proof that inf(A)=0 where A
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Description: Choose the answer that best completes the proof that inf(A)=0 where A =Firstly, we would show that o is a lower bound for A by noticing that 0sfor all nEN-n2Then..O None of theseO Then we would let W>0 be arbitrary but fixed and show that W can't be

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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Choose the answer that best completes the proof that inf(A)=0 where A =
Firstly, we would show that o is a lower bound for A by noticing that 0s
for all nEN-
n2
Then..
O None of these
O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A:
1
<W. But
1
EA so W isn't a lower bound for A, and therefore O must be the infimum of A.
N?
Since W>0 it follows, from the Archimedean Property, that there exists NEN such that
O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A:
Since W>0 it follows that we can choose
EA such that "
<w. Then W isn't a lower bound for A, and therefore 0 must be the infimum of A.
O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A:
Since W>0 it follows, from the Archimedean Property, that there exists NEN such that
</w. But then
1
<W and
1
EA so W isn't a lower bound for A, and therefore O must
be the infimum of A.

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