Answer:
A
Step-by-step explanation:
We are given the function:
And we want to find:
So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:
Since we are approaching from the left, we will use the first equation:
By direct substitution:
Right-Hand Limit:
Since we are approaching from the right, we will use the second equation:
Direct substitution:
So, we can see that:
Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:
Our answer is A.