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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)1−x−2x2≈1−12x−98x2\sqrt{1-x-2x^2} \approx 1 - \dfrac{1}{2}x - \dfrac{9}{8}x^21−x−2x2​≈1−21​x−89​x2menu_book•(ii)1+x1−x≈1+x+12x2\sqrt{\dfrac{1+x}{1-x}} \approx 1 + x + \dfrac{1}{2}x^21−x1+x​​≈1+x+21​x2
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school

11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)1−x−2x2≈1−12x−98x2\sqrt{1-x-2x^2} \approx 1 - \dfrac{1}{2}x - \dfrac{9}{8}x^21−x−2x2​≈1−21​x−89​x2menu_book•(ii)1+x1−x≈1+x+12x2\sqrt{\dfrac{1+x}{1-x}} \approx 1 + x + \dfrac{1}{2}x^21−x1+x​​≈1+x+21​x2
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Accedmychevron_right11thchevron_rightmathchevron_rightMathematical Inductions And Binomial Theoremchevron_rightExercise 8.3
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