The sine; cosine and (tangent) function is continuous everywhere (on domain).

The cosecant; secant and cotangent function is continuous in its domain.

Is greatest integer function [x] is continuous everywhere ?

Prove that tangent function is continous in its domain.

Which one of the following functions is continuous everywhere in its domain but has atleast one point where it is not differentiable

A logarithmic function is continuous in its domain.

The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere

A constant and identity function is everywhere continuous.

Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

A modulus function is everywhere continuous.

The exponential function a^(x);a>0 is everywhere continuous.