Theory of Intelligence
11TH•Mathematics•Mathematical Inductions And Binomial Theorem•Question 4

(i)

If $x$ is so small that its cube and higher power can be neglected, show that:

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(i)

1−x−2x2≈1−12x−98x2\sqrt{1-x-2x^2} \approx 1 - \dfrac{1}{2}x - \dfrac{9}{8}x^2

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(ii)
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