JEE Main 2020MathematicsContinuity and DifferentiabilityEasyMCQ

JEE Main 2020 — Continuity and Differentiability Question with Solution

JEE Main 2020 (09 Jan Shift 2)

Question

Let t denote the greatest integer ≤t and limx→0⁡x4x=A. Then the function, fx=x2sin⁡πx is discontinuous, when x is equal to:

Choose an option

Show full solutionCorrect option: A
Correct answer
AA+1

Step-by-step explanation

logx→0⁡4x-4x=A⇒logx→O⁡4-x4x=A

⇒4-0

⇒A=4

Hence, for 5, fx is discontinuous as it is an non-integral value.

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About this question

This is a previous-year question from JEE Main 2020, 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.