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

(iii)

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

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(iii)

(9+7x)1/2−(16+3x)1/44+5x≈14−17384x\dfrac{(9+7x)^{1/2} - (16+3x)^{1/4}}{4+5x} \approx \dfrac{1}{4} - \dfrac{17}{384}x

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