Question

You can remove a removable discontinuity by

• A. By redefining the domain of function appropriately
• B. By redefining the function value at the point of discontinuity
• C. By excluding the points where function goes to infinity
• D. All of these

Answer 1

Answer: (A), (B)

By redefining the function value at the point of discontinuity

Removable discontinuity is when we have a single point

detached from the main curve

i.e., $\underset{x\to a}{Lt}f\left(x\right)\ne f\left(a\right)$ where f(a) is finite.

Graphically its something as below.

This discontinuity can be removed by redefining function such that

New f(a) = $\underset{x\to a}{Lt}f\left(x\right)$