(1.01)⁵ approximated using binomial theorem is approximately:
Solution
(1+0.01)⁵ ≈ 1 + 5(0.01) + 10(0.01)² = 1 + 0.05 + 0.001 = 1.051. Ignoring higher powers.
About this question
Subject: Mathematics · Chapter: Binomial Theorem · Topic: Applications of Binomial Theorem
This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Binomial Theorem are available — start with the harder ones if your accuracy is >70%.