This notation means that the limit of a function f(x) as x tends to a is equal to L. In this case, L is a number. a is a number. x is the function. No we cannot conclude anything about f (a).
The three conditions associated with non-existence of a limit are
- Divergence up to infintiy
- Oscillations with a frequency increasing with time
Limx-a f(x) = ∞means that the limit of the function as x tends to a is infinity while Limx-∞ f(x) = b means that as the limit of the function as x tends to infinity is equal to ...