Let f:[1,3]→R be a function satisfying [x]x≤f(x)≤6−x, for all x=2 and f(2)=1, where R is the set of all real numbers and [x] denotes the largest integer less than or equal to x. Statement 1: x→2−limf(x) exists. Statement 2: f is continuous at x=2.
Held on 19 May 2012 · Verified 6 Jul 2026.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
Statement 1 is true, Statement 2 is false.
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Work through every JEE Main Calculus PYQ, year by year.