Introduction to limits

Definition of limit:

If f(x) becomes close to a number L as x approaches c from either side, the limit of f(x) as x approaches c is L.

Lim.  F(x) = L

X->c

Another way to define a limit is a point where an approaching line or graph ceases to pass.

How do numerically estimate a limit 

As seen through this example, we simply substitute values extremely close to c into f(x). After finding these various results, we should be able to estimate the value that resembles the limit. 

Through graphs we can tell if the function has a limit or not.

No limit: lines will never intersect. (|x|/x)

1. F(x) approaches a different number from the right side of c

2. F(x) increases or decreases without bound as x approaches c

3. F(x) oscillates between two fixed values as x approaches c.

Limit: lines intersect