Limits And Derivations

Step 1: Continuity Condition.
For the function to be continuous at , we must have: Thus, we need to calculate .
Step 2: Finding the limit.
Using the standard limit , we get: Step 3: Conclusion.
For the function to be continuous, we must have: Thus, solving for , we get: Step 4: Final Answer.
Therefore, the value of is , corresponding to option (A).