5 Jan 2022
Problem 32
Page 118
Section 2.9: The Formal Definition of a Limit
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
5 Jan 2022
Given information
We have to prove that a function converges to at most one limiting value.
Step-by-step explanation
Step 1.
Let us consider that 
and 
where 
and where Then,
Now, let 
Then, by the formal definition of limits, we have,
For all , there exists 
and 
, such that if
, there exists and , such that if
, then 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805