Some situations where you might be asked to find the limit!
How to read: lim as x approaches a of f(x) is equal L
In ii) a is in not in the domain of a function f and limit as x approaches a is equal to L (where L is not equal to f(a)).
In iii) a is not in the domain (the a E Df above is wrong). Limit as x approaches a from left side of the function f(x)= L1 whereas limit as x approaches a from right side is equal to L2. Since, L1 is not equal to L2, limit as x approaches a of f(x) does not exist.
So, today we learned in order for limit to exist the left side and the right side limit must equal to each other. The limit may also exist even if the point is not in the domain (like in ii).
