Question

The following functions are continuous on (0, pi)

(a) tan x

Answer 1

Correct option 

Explanation :

The function f(x) = tan x is not defined at x = pi/2, so f(x) is not continuous on (0, pi).

Since, g(x) = x sin(1/x) is continuous on (0, pi) and the integral function of a continuous function is continuous,

is continuous on (0, pi)

f(x) is continuous at all other points.