Functions and Limits Quiz

A removable discontinuity occurs when the function approaches a finite limit from both sides, while a non-removable discontinuity occurs when the function approaches different limits from both sides

A removable discontinuity is always a vertical asymptote, while a non-removable discontinuity can be a hole or jump

A removable discontinuity can be fixed by redefining the function at the point of discontinuity, while a non-removable discontinuity cannot (correct)

A removable discontinuity is always a hole in the graph of the function, while a non-removable discontinuity can be a jump or infinite oscillation

The limit of a function does not exist if the function is not continuous at that point (correct)

The limit of a function always exists if the function is continuous at that point

The limit of a function is always equal to infinity at a vertical asymptote

The limit of a function and the value of the function at that point are always the same

A one-sided limit does not exist if the function approaches different values from both sides

A one-sided limit always equals the two-sided limit

A one-sided limit exists if the function approaches the same value from both sides (correct)

A one-sided limit exists if the function approaches infinity from both sides