JEE Main 2012 — Continuity and Differentiability Question with Solution
JEE Main 2012 (Offline)
Question
If is a function defined by , where denotes the greatest integer function, then is
Choose an option
Show full solutionCorrect option: A
Correct answer
Acontinuous for every real
Step-by-step explanation
is continuous for every real .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Continuity and Differentiability chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2012, covering the Continuity and Differentiability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.