Limit of a Function

Joined
Jun 27, 2021
Messages
5,386
Reaction score
422
Calculus
Section 1.5

The late James Stewart said the following in the image below:

"The following table gives values of f(x) for values of x close to 2 but not equal to 2."

Ok. FOR VALUES OF X CLOSE TO 2 BUT NOT EQUAL TO 2 is like the Twilight Zone to me. What on earth does that mean?

What does the table below even mean?



Screenshot_20220402-122521_Samsung Notes.jpg
 
VALUES OF X CLOSE TO 2 BUT NOT EQUAL TO 2 are values x= 1 and x<2

or 1<= x<2

that means values for x could be:
x=1.0
:
x=1.01
:
x=1.1
:
x=1.2 and all between 1.2 and 1.3
and so on up to x=1.999
 
VALUES OF X CLOSE TO 2 BUT NOT EQUAL TO 2 are values x= 1 and x<2

or 1<= x<2

that means values for x could be:
x=1.0
:
x=1.01
:
x=1.1
:
x=1.2 and all between 1.2 and 1.3
and so on up to x=1.999

This remains unclear to me. Sorry.
 
how unclear?
There are infinity numbers between 1 and 2 like 1.01,1.001,1.0011 etc.
But if you need an integer, there is no number between 1 and 2.

so, in table above are used some of numbers between 1 and 2
 


Write your reply...

Members online

No members online now.

Forum statistics

Threads
2,529
Messages
9,858
Members
696
Latest member
fairdistribution
Back
Top