JEE Main 2005 — Binomial Theorem Question with Solution
From: AIEEE 2005
Question
If is so small that and higher powers of may be neglected, then may be approximated as
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
= 1 +
= 1 + (As is so small, so and higher powers of neglected)
=
=
=
=
=
[ As x3 is so small we can ignore ]
=
= 1 + (As is so small, so and higher powers of neglected)
=
=
=
=
=
[ As x3 is so small we can ignore ]
=
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Binomial Theorem chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2005, covering the Binomial Theorem 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.