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

(ii)

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

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(ii)

1+x1−x≈1+x+12x2\sqrt{\dfrac{1+x}{1-x}} \approx 1 + x + \dfrac{1}{2}x^2

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(i)