Explain why the function fails to be continuous at by indicating which of the conditions in the definition of continuity are not met.
A) exists but does not exist
B) exists but does not exist
C) neither nor exist
D) exists and exists but

Question

Explain why the function fails to be continuous at  by indicating which of the conditions in the definition of continuity are not met. 
A) exists but does not exist 
B) exists but does not exist 
C) neither nor exist 
D) exists and exists but

Quizplus · Accepted Answer

For a function to be continuous at a point, three conditions must be met:
1. The limit of the function as x approaches that point exists
2. The value of the function at that point exists
3. The limit of the function as x approaches that point is equal to the value of the function at that point.
In this case, option D is the correct answer because the limit of the function as x approaches 11eaa88b_945f_d438_a696_31635ae786a2_TB5869_11 exists, the value of the function at that point exists, but the limit of the function as x approaches that point is not equal to the value of the function at that point.

Explain Why the Function Fails to Be Continuous at