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The value of 9^(1//3)xx9^(1//9)xx9^(1//2...

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

A

9

B

1

C

3

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. If the sum of the first n natural numbers is 1/5 times the sum of the ...

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

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

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

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  5. The sum of all two digit odd numbers is

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  6. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

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  7. Given two numbers a and b. Let A denote the single A.M. and S denote t...

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  8. If underset(r=1)overset(n)Sigmar^4=I(n), " then "underset(r=1)overset(...

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  9. 0. 423 is equivalent to the fraction (94)/(99) (b) (49)/(99) (c) ...

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  10. If a,b,c are in A.P and a^2,b^2,c^2 are in H.P then which is of the fo...

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  11. The harmonic mean of two numbers is 4. Their arithmetic mean A and the...

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  12. The sixth term of an A.P., a1,a2,a3,.............,an is 2. If the quan...

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  13. If (x+y)/(1-xy),y,(y+z)/(1-yz) be in A.P., " then " x,(1)/(y),z will b...

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  14. If a , b, c, be in A.P. , b, c,d in G.P. and c.d.e.in H.P., then prov...

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  15. Three non-zero real numbers from an A.P. and the squares of these numb...

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  16. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

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  17. The n^(th) term of the sequence 4,14,30,52,80,114, . . . ., is

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  18. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

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  19. If S(1),S(2)andS(3) denote the sum of first n(1)n(2)andn(3) terms resp...

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  20. If |a| < 1 and |b| < 1, then the sum of the series a(a+b)+a^2(a^2+b^2)...

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