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Show that X^((1)/(2))*X^((1)/(4))*X^((1...

Show that `X^((1)/(2))*X^((1)/(4))*X^((1)/(8))`... Upto `oo = X `

A

0

B

1

C

x

D

`oo`

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C
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. The sum of n terms of two arithmetic progressions are in the ratio 2n+...

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  2. If x = underset(n-0)overset(oo)sum a^(n), y= underset(n =0)overset(oo)...

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  3. Show that X^((1)/(2))*X^((1)/(4))*X^((1)/(8))... Upto oo = X

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  4. If a,b,c be in arithmetic progession, then the value of (a+2b-c) (2b+c...

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  5. If a, b, c are distinct positive real numbers in G.P and logca, logbc,...

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  6. If lta(n)gtandltb(n)gt be two sequences given by a(n)=(x)^((1)/(2^(n))...

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  7. The sum of the squares of three distinct real numbers which are in G...

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  8. If there be n quantities in G.P., whose common ratio is r and S(m) den...

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  9. The value of sum(r=1)^(n)log((a^(r))/(b^(r-1))), is

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  10. If n arithmetic means are inserted between 2 and 38, then the sum of t...

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  11. An A.P., and a H.P. have the same first and last terms and the same od...

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  12. If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the...

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  13. The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...

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  14. If 2 (y - a) is the H.M. between y - x and y - z then x-a, y-a...

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  15. If the roots of the equation x^3-12x^2 +39x -28 =0 are in AP, then the...

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  16. If the sum of the first n natural numbers is 1/5 times the sum of the ...

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  17. log3 2, log6 2, log12 2 are in

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  18. The value of 9^(1//3)xx9^(1//9)xx9^(1//27)xx…… to oo is

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  19. The following consecutive terms 1/(1+sqrtx), 1/(1-x), 1/(1-sqrtx) of ...

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  20. The sum of all two digit odd numbers is

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