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

In the definition of continuity, one of the conditions is that the limit of the function as the input approaches the point of interest must exist and be equal to the value of the function at that point. In this case, 11eaa948_cdce_c112_84bc_5339b9996da2_TB2342_11 exists and is equal to the value of the function at 11eaa948_cdce_c113_84bc_9d3c8b98ea73_TB2342_11, but 11eaa948_cdce_c114_84bc_030c4b969b9b_TB2342_11 does not exist. Therefore, the function fails to be continuous at 11eaa948_cdce_c114_84bc_030c4b969b9b_TB2342_11.

Explain Why the Function Fails to Be Continuous at