If For what value (s) of a does exists?


Given function is


There are three cases.


Case 1: When a = 0


:




Here


does not exist.


Case 2: When a < 0


:





lim(f(x)) exists at x = a when a < 0


Case 3: When a > 0


:





lim(f(x)) exists at x = a when a > 0


Ans. exists for all a ≠ 0


30
1