Prove that the identity function on real numbers given by f(x)= x is continuous at every real number.

Examine whether the function f given by f(x)= x^2 is continuous at x= 0.

Prove that the function defined by f(x)= tan x is a continuous function.

Is the function defined by f(x)= |x| , a continuous function?

Prove that every rational function is continuous.

Prove that the function f(x)= x^(n) is continuous at x= n, where n is a positive integer.

Prove that the function f(x) = 5x - 3 is continuous at x = 0, at x = -3 and at x = 5.

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1 .

Discuss the continuity of the function f given by f(x)= |x|" at "x=0 .

Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'.

Let h(x) = min {x, x^2} , for every real number of X. Then