JEE Main 2013 — Continuity and Differentiability Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Consider the function :
where is the greatest integer function.
Statement 1: is not continuous at and 3
Statement 2:f(x)=
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement 1 is true; Statement 2 is false,
Step-by-step explanation
Let where greatest integer function. is not continuous at But in statement-2 is continuous at .
Hence, statement-1 is true and 2 is false.
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This is a previous-year question from JEE Main 2013, 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.