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Question 280009
JEE Mathematics · Medium

Binomial Theorem: Approximation MCQ

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ApproximationMediumQuestion 280009

Question

(1.02)⁵ approximately equals (using binomial up to x²):
  1. A
    1.1040
    Correct
  2. B
    1.02
  3. C
    1.20
  4. D
    1.04

Correct answer

1.1040

Explanation

(1+0.02)⁵ ≈ 1 + 5(0.02) + 10(0.02)² = 1 + 0.1 + 10(0.0004) = 1 + 0.1 + 0.004 = 1.104.

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