Mathematics
Limits, continuity, and differentiability for JEE Main & Advanced — calculus gatekeepers
Why JEE loves piecewise and functional limits, and how each paper links differentiability to graphs.
On JEE Main
Main tests standard limits (sin x/x, (1+1/n)^n family), L'Hôpital with domain care, continuity at a point, and differentiability using first principles. Piecewise definitions with modulus and greatest integer functions are classic single-correct traps.
On JEE Advanced
Advanced uses multi-correct and paragraph formats where a piecewise function is defined over intervals and students must determine continuity, differentiability, and monotonicity simultaneously. Integer-type questions may involve counting points of non-differentiability.
How to practise
Practise this topic on PracticeJEE under Mathematics after each new function class you meet in homework.
Related chapters
Ready to practise this chapter?
Open Practice, choose Mathematics, then select this chapter in the topic list.
Go to Practice →