Question

What is/are conditions for a function to be continuous on (a,b)?

(a) The function is continuous at each point of (a,b)

(b) The function is right continuous

(c) The function is left continuous

(d) Right continuous, left continuous, continuous at each point of (a,b)

The question was posed to me during an online exam.

This is a very interesting question from Continuity in portion Continuity and Differentiability of Mathematics – Class 12

Answer 1

Correct choice is (d) Right continuous, left continuous, continuous at each point of (a,b)

Easy explanation: The three conditions required for a function f is said to be continuous on (a,b) if f is continuous at each point of (a,b), f is right continuous at x = a, f is left continuous at x = b.