JEE Main 2021MathematicsLimitsMediumMCQ

JEE Main 2021 — Limits Question with Solution

JEE Main 2021 (27 Aug Shift 1)

Question

If α, β are the distinct roots of x2+bx+c=0, then limx→βe2x2+bx+c-1-2x2+bx+c(x-β)2 is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C2b2-4c

Step-by-step explanation

limx→βe2x2+bx+c-1-2x2+bx+cx-β2limx→β11+2x2+bx+c1!+22x2+bx+c22!+...-1-2x2+bx+cx-β2limx→β2x2+bx+c2x-β2limx→β2x-α2x-β2x-β22β-α2=2b2-4c

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About this question

This is a previous-year question from JEE Main 2021, 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.