Theory of Intelligence
11TH•Mathematics•Mathematical Inductions And Binomial Theorem•Question 3

(ii)

If $x$ is so small that its square and higher powers can be neglected, then show that:

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(ii)

1+2x1−x≈1+32x\dfrac{\sqrt{1+2x}}{\sqrt{1-x}} \approx 1 + \dfrac{3}{2}x

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