Proposition:
Limits and One-Sided Limits
f(x) = L if and only if
f(x) = L and
f(x) = L
Proof:
The proof of this basically a re-writing of the definitions involved. It is left as an exercise.
To Theory |
Glossary |
Map
(bgw)
f(x)
= L if and only if 
f(x)
= L and 
f(x)
= L
f(x)
= L if and only if f(x)
= L and f(x)
= L
To Theory |
Glossary |
Map