5 Jan 2022
Problem 37a
Page 119
Section 2.9: The Formal Definition of a Limit
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
5 Jan 2022
Given information
We are given a function
We have to show that 
is discontinuous at 
if is rational.
Step-by-step explanation
Step 1.
Let be a rational number, then 
and 
.
be a rational number, then and .There exists a sequence, 
of irrational numbers so that 
.
of irrational numbers so that .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805