Intuitive Definition of a Limit

[nycmathguy]

Calculus
Section 1.5

I understand the intuitive definition of a limit as the limit of a given function as x tends to a number is equal to L.

What does L mean here?
I know the lim = limit. Does L = limit, too?

 

[MathLover1]

as x “approaches” a, the function f( x) “approaches” the real number L

 

[nycmathguy]

as x “approaches” a, the function f( x) “approaches” the real number L

Are you saying that L means the real number not the limit.

Yes?

 

[MathLover1]

yes
remember:

 

[nycmathguy]

yes
remember:
View attachment 2442

Understood. Thanks.