- Does a hole make a function discontinuous?
- When can a limit not exist?
- Can a function be continuous and not differentiable?
- Which function is not continuous Brainly?
- Can there be a limit at a discontinuity?
- Can a non continuous function have a limit?
- How do you know if a limit is continuous or discontinuous?
- Can a graph be continuous with a hole?

## Does a hole make a function discontinuous?

Discontinuous functions are functions that are not a continuous curve – there is a hole or jump in the graph..

## When can a limit not exist?

When approaching the limits from the different direction, if one value is not close to another value, we say that the limits do not exist.

## Can a function be continuous and not differentiable?

In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

## Which function is not continuous Brainly?

The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls. The reason for this is because the number of these balls is discreet, not continuous (meaning that there cannot be 6.5 balls).

## Can there be a limit at a discontinuity?

A finite discontinuity exists when the two-sided limit does not exist, but the two one-sided limits are both finite, yet not equal to each other. The graph of a function having this feature will show a vertical gap between the two branches of the function.

## Can a non continuous function have a limit?

3 Answers. No, a function can be discontinuous and have a limit. The limit is precisely the continuation that can make it continuous. Let f(x)=1 for x=0,f(x)=0 for x≠0.

## How do you know if a limit is continuous or discontinuous?

A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function’s value. Point/removable discontinuity is when the two-sided limit exists, but isn’t equal to the function’s value.

## Can a graph be continuous with a hole?

The function is not continuous at this point. This kind of discontinuity is called a removable discontinuity. Removable discontinuities are those where there is a hole in the graph as there is in this case. … In other words, a function is continuous if its graph has no holes or breaks in it.