JEE Main 2019MathematicsLimitsMediumMCQ

JEE Main 2019 — Limits Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

The value of limy→01+1+y4-2y4

Choose an option

Show full solutionCorrect option: B
Correct answer
Bexists and equals 142

Step-by-step explanation

To solve this question, we need to apply the concept of rationalization twice.

Given limit is limy→01+1+y4-2y4 ( 00 form)

=limy→01+1+y4-2y4×1+1+y4+21+1+y4+2

=limy→01+y4-1y41+1+y4+2×1+y4+11+y4+1

=limy→0y4y41+1+y4+21+y4+1

=limy→011+1+y4 +21+y4+1

=142.

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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.