Question

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

(a) limx→a-⁡f(x)=f(a)

(b) limx→b-⁡f(x)=f(b)

(c) limx→a+⁡f(x)=f(b)

(d) limx→b+⁡f(x)=f(b)

I have been asked this question by my school teacher while I was bunking the class.

Origin of the question is Continuity topic in chapter Continuity and Differentiability of Mathematics – Class 12

Answer 1

Right option is (b) limx→b-⁡f(x)=f(b)

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