Topology Answer number 2 2. Every Cauchy sequence in the Euclidean metric space R, where n is a positive integer, isconvergent.a. Trueb. False3. Every subsequence of a Cauchy sequence is a Cauchy sequence.a. Trueb. False4. Every complete metric subspace of a metrie space is elosed.a. Trueb. False5. Knowing that the functionf:R→R. defined by f(r) = sinr has 0 as a fixed point then /isa contraction mapping.a. Trueb. False

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Answered: 2. Every Cauchy sequence in the…

2. Every Cauchy sequence in the Euclidean metric space R, where n is a positive integer, is convergent. a. True b. False

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

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Question

Topology Answer number 2

2. Every Cauchy sequence in the Euclidean metric space R, where n is a positive integer, is
convergent.
a. True
b. False
3. Every subsequence of a Cauchy sequence is a Cauchy sequence.
a. True
b. False
4. Every complete metric subspace of a metrie space is elosed.
a. True
b. False
5. Knowing that the functionf:R→R. defined by f(r) = sinr has 0 as a fixed point then /is
a contraction mapping.
a. True
b. False

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