Consider the piecewise function,

Find the value of C so that exists.

Question

Consider the piecewise function, ​  ​
​
Find the value of C so that  exists.​
​

Quizplus · Accepted Answer

To find the value of C such that the limit exists, we need to ensure that the left-hand limit and the right-hand limit are equal. The left-hand limit is the value of the function as x approaches 2 from the left, which is 3. The right-hand limit is the value of the function as x approaches 2 from the right, which is C. Therefore, we need to find the value of C such that C = 3. The only choice that satisfies this condition is D, which is 3.

Consider the Piecewise Function, ​ ​

Consider the Piecewise Function,