JEE Main 2019MathematicsLimitsEasyMCQ

JEE Main 2019 — Limits Question with Solution

JEE Main 2019 (09 Apr Shift 2)

Question

If fx=x-x4, x∈R, where x denotes the greatest integer function, then:

Choose an option

Show full solutionCorrect option: B
Correct answer
Bf is continuous at x=4

Step-by-step explanation

R.H.L.=limx→4+x-x4=4-1=3

L.H.L.=limx→4-x-x4=3-0=3

fx=4-1=3

L.H.L.=f4=R.H.L.

Hence, given function is continuous at x=4.

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About this question

This is a previous-year question from JEE Main 2019, covering the Limits 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.