Limit Laws

Suppose that c is a constant and the limits and exist. Then:

1. 
2. 
3. 
4. 
5. If
6. ⁿⁿ
7. 
8. 
9. ^{n n} where n is a positive integer
10. 
11. [If n is even, we assume that

Theorems

1. if and only if
2. If when x is near a (except possibly at a) and the limits of f and g both exist as x approaches a, then
   
   
   
3. Squeeze Theorem
   If when x is near a (except possibly at a) and
   
   
   then