Answered: a. Assuming that lim,(1/n') = 0 if c is… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 17EQ

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Question

a. Assuming that lim,(1/n') = 0 if c is any positive con-
stant, show that
In n
lim
n°
п—00
if c is any positive constant.
b. Prove that lim,(1/n°) = 0 if c is any positive constant.
(Hint: If ɛ = 0.001 and c = 0.04, how large should N be to
ensure that | 1/n – 0| < ɛ if n > N?)

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