Give an example of the function which is defined at two points but is nevertheless discontinuous at...both the points.

Give an example of a function which is continuous but not differentiable at a point.

Give an example of a function which is continuous but not differentiable at a point.

Give an example to show that the function gof is defined and one-one though the functions both f and g are not necessarily one-one.

Give an example to show that the function gof is defined and onto though the functions both f and g are not necessarily onto.

Define a continuous function at a point.

Which one is the discontinuous function at any point? sin x

Which of the following function has finite number of points of discontinuity ?