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Find the sum of the infinite series (...

Find the sum of the infinite series
`(7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)`

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1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

Find the sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+….

Find the sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…..

Find the sum of the infinite series 1-(4)/(5)+(4.7)/(5.10)-(4.7.10)/(5.10.15)+………

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=

Sum of the series (1)/(2)((1)/(2)+(1)/(3))-(1)/(4)((1)/(2^(2))+(1)/(3^(2)))+(1)/(6)((1)/(2^(3))+(1)/(3^(3)))-... is

1+(1)/(2!)+(1.3)/(4!)+(1.3.5)/(6!)+...=

1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)+…...oo=

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.3 (LONG ANSWER QUESTIONS)
  1. BY neglecting x^4 and higher powers of x show that root(3)(x^2 + 64) -...

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

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

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

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

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

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  7. Find the value of the (1)/(root(3)(999) ) 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. Expand 3sqrt3 in increasing power of 2/3

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

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

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

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

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

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

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  17. (1)/(4)-(5)/(4.8)+(5.7)/(4.8.12)-…....=

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

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

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  20. If t = 4/5 + (4.6)/(5.10) + (4.6.8)/(5.10.15) + ……oo then prove that ...

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