Question

What is the mathematical expression for f is right continuous on (a,b)?

(a) limx→a+⁡f(x)=f(a)

(b) limx→a+⁡f(x)=f(b)

(c) limx→b+⁡f(x)=f(a)

(d) limx→a-⁡f(x)=f(a)

The question was asked in class test.

My doubt is from Continuity topic in chapter Continuity and Differentiability of Mathematics – Class 12

Answer 1

The correct choice is (a) limx→a+⁡f(x)=f(a)

To explain I would say: A function is said to be continuous when it is both left continuous and right continuous. Mathematical expression for a function f is right continuous on (a,b) is limx→a+⁡f(x)=f(a).