Questions & Answers of Continuity

Weightage of Continuity

Total 3 Questions have been asked from Continuity topic of Calculus subject in previous GATE papers. Average marks 1.33.

A funnction f(x) is continuous in the interval 0,2. It is known that f(0)=f(2)=-1 and f(1)=1. Which one of the following statements must be true?

Which one of the following functions is continuous at x = 3?

Consider the following two statements the function f(x) = |x|:

P. f(x) is continuous for all real values of x
Q. f(x) is differentiable for all real values of x

Which of the following is TRUE?