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Suppose p, q are positive and p is very...

Suppose p, q are positive and p is very small when compared to q. Then find an approximate value of
`((q)/(q+p))^(1//2)+((q)/(q-p))^(1//2)`.

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.3 (LONG ANSWER QUESTIONS)
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  10. Expand 3sqrt3 in increasing power of 2/3

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

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

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

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

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

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

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  18. (1)/(4)-(5)/(4.8)+(5.7)/(4.8.12)-…....=

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

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  20. If x=(5)/((2!).3)+(5.7)/((3!).3^(2))+(5.7.9)/((4!).3^(3))+…. then fi...

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