JEE Main 2016MathematicsLimitsMediumMCQ

JEE Main 2016 — Limits Question with Solution

JEE Main 2016 (09 Apr Online)

Question

If limx→∞⁡1+ax-4x22x=e3, then a is equal to 

Choose an option

Show full solutionCorrect option: B
Correct answer
B32

Step-by-step explanation

limx→∞1+ax-4x22x (1∞ form)

=elimx→∞⁡1+ax-4x2-12x

=elimx→∞⁡2a-8x=e2a

∴   e2a=e3

⇒2a=3 

⇒  a=32

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About this question

This is a previous-year question from JEE Main 2016, 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.