JEE Main 2019MathematicsLimitsEasyMCQ

JEE Main 2019 — Limits Question with Solution

JEE Main 2019 (10 Apr Shift 1)

Question

If  limx→1x4-1x-1=limx→kx3-k3x2-k2 , then k is

Choose an option

Show full solutionCorrect option: D
Correct answer
D83

Step-by-step explanation

Given limits can be written as,

limx→1x2+1x+1x-1x-1=limx→kx-kx2+k2+xkx-kx+k
⇒4=3k22k
⇒k=83.

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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.