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If |x| is so small that x^4 and higher p...

If |x| is so small that `x^4` and higher powers of x many be neglected , then find an approximate value of `root(4)(x^2 + 81) - root(4)(x^2 + 16)`

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The correct Answer is:
`1 - (19)/(864) x^2`
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Prove that : If |x| is so small that x^(4) and higher powers of x may be neglected, then find the approximate value of root(4)(x^(2).+81)-root(4)(x^(2)+16).

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If |x| is so small that x^(2) and higher powers of x may be neglected then find the approx-imate values of the following (sqrt(4+x)+root(3)(8+x))/((1+2x)+(1-2x)^(-1//3))

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If |x| is so small that x^2 and higher powers of x may be neglected, then an approximately value of ((1+(2)/(3)x)^(-3) (1-15x)^(-1//5))/((2-3x)^4) is

If |x| is so small that x^(2) and higher powers of x may be neglected then find the approx-imate values of the following ((8+3x)^(2//3))/((2+3x)sqrt(4-5x))

AAKASH SERIES-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. Find the coefficient of x^4 in (8 - x)^(-1//3)

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  2. Find the coefficient of x^12 in ((1+ 3x))/((1 -4x)^4)

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  3. If |x| is so small that x^4 and higher powers of x many be neglected ,...

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  4. If |x| is so small that x^2 and higher powers of x many be neglected ,...

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  5. If |x| is so small that x^2 and higher powers of x many be neglected ,...

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  6. If x is so small that x^2 and higher powers of x many be neglected , s...

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  7. If x is so small that x^2 and higher powers of x many be neglected , s...

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  8. Find the value of (1.02)^(3//2) - (0.98)^(3//2) correct to 6 decimals ...

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  9. Find the value of root(5)(32.16) correct to 4 decimals places

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  10. Find the value of (627)^(1//4) correct to 4 decimals places

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  11. Show that + 1/4 + (1.3)/(4.8) + (1.3.5)/(4.8.12) + …….= sqrt2

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  12. Show that 1 + 1/2.3/5 + (1.3)/(2.4) (3/5)^2 + (1.3.5)/(2.4.6) (3/5)^3...

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  13. Sho that 3/6 + (3.5)/(6.9) + (3.5.7)/(6.9.12)+ ……..oo 3 sqrt3 - 4

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  14. Show that 1 - 3/4 + (3.5)/(4.8)- (3.5.7)/(4.8.12)+……..sqrt((8/27))

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  15. Show that (4.6)/(5.10) + (4.6.8)/(5.10.15) + (4.6.8.10)/(5.10.15.20) +...

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  16. Show that (5)/(6.12) + (5.8)/(6.12.18) + (5.8.11)/(6.12.18.24) + ….. =...

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  17. Show that (4)/(12.18) - (4.7)/(12.18.24) + (4.7.10)/(12.18.24.30) -...

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  18. If x = (1.3)/(3.6) + (1.3.5)/(3.6.9) + (1.3.5.7)/(3.6.9.12) + ….. th...

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  19. If t = 1 - 1/8 + (1.3)/(8.16) -(1.3.5)/(8.16.24) + …… then prove that ...

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  20. If n is a non zero rational number then show that 1 + n/2 + (n (...

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