Prove that cot x is continuous in its domain

A logarithmic function is continuous in its domain.

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

Prove that tangent function is continous in its domain.

Prove that f(x)=|x| is continuous at x=0

Statement -1 : y = [x] , ([.] denotes greatest integer function) is not a continuous function . Statement -2 : {x} ({.} denotes fractional fractional function) is discontinuous at integral points. Statement -3 : y = 7^(x) is continuous in its domain.

Prove that f(x)=|sinx| is continuous at all points of its domain.

If f(x)=|(log)_e|x| , then f(x) is continuous and differentiable for all x in its domain] (b) f(x) is continuous for all x in its domain but not differentiable at x=+-1 (c) f(x) is neither continuous nor differentiable at x=+-1 (d) none of these

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

The value of a and b such that the function defined by f(x) = {(7,",","if" x le 2),(ax+b,",","if" 2 lt x lt 9),(21,",","if" x ge 9):} , is continuous on its domain are

Prove that f(x)=sin x is continuous at x=(pi)/(2)