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BY neglecting `x^4` and higher powers of x show that `root(3)(x^2 + 64) - root(3)(x^2 +27) = 1 - 7/432 x^2`

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.3 (LONG ANSWER QUESTIONS)
  1. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  2. If |x| is so small that x^2 and higher powers of x may be neglected sh...

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  3. BY neglecting x^4 and higher powers of x show that root(3)(x^2 + 64) -...

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  4. Suppose p, q are positive and p is very small when compared to q. The...

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  5. Suppose s and t are positive and t is very small when compared to s. T...

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  6. Find the value of the sqrt199 correct to 4 decimal places

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  7. Find the value of the root(5)(242) correct to 4 decimal places

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  8. Find an approximate value of the following corrected to 4 decimal pla...

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  9. Find the value of the (1)/(root(3)(999) ) correct to 4 decimal places

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  10. Find an approximate value of the following corrected to 4 decimal pla...

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  11. Expand 3sqrt3 in increasing power of 2/3

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  12. Expand 5sqrt5 in increasing power of 4/5

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  13. Show that 1 + 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + ….. = sqrt3

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  14. Show that 1 + 2/3.1/2 + (2.5)/(3.6) (1/2)^2 + (2.5.8)/(3.6.9) (1/2)^3 ...

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  15. Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1...

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  16. Show that 3/4 + (3.5)/(4.8)+ (3.5.7)/(4.8.12)+ …… = sqrt8 -1

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  17. Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …...

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  18. Show that (3)/(4.8)-(3.5)/(4.8.12) + (3.5.7)/(4.8.12.16) - …… = sqrt(2...

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  19. (1)/(4)-(5)/(4.8)+(5.7)/(4.8.12)-…....=

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  20. If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

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