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If Sn=1/1^3 +(1+2)/(1^3+2^3)+...+(1+2+3+...

If `S_n=1/1^3 +(1+2)/(1^3+2^3)+...+(1+2+3+...+n)/(1^3+2^3+3^3+...+n^3)` Then `S_n` is not greater than

A

4

B

1

C

`1//2`

D

2

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The correct Answer is:
D
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FIITJEE-MATHEMATICS TIPS-ASSIGNMENT -OBJECTIVE
  1. If H(1),H(2)…H(4) be (n-1) harmonic means between a and b, then (H(1)+...

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  2. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

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  3. If Sn=1/1^3 +(1+2)/(1^3+2^3)+...+(1+2+3+...+n)/(1^3+2^3+3^3+...+n^3) T...

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  4. If a(1),a(2),a(3)… are in G.P. then the value of |{:(log a(n),loga(n+...

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  5. If alphaa n dbeta are the roots of x^2-a(x-1)+b=0 then find the value ...

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  6. The last term in the binomial expansion of (2^(1/3) -1/sqrt(2))^n is (...

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  7. If alpha is a root of z^5 +z^3 +2+3=0, then

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  8. Let S1, S2, be squares such that for each ngeq1, the length of a side...

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  9. The number of ways in which a committee of 3 women and 4 men be chosen...

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  10. Forty team play a tournament. Each team plays every other team just ...

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  11. The largest, two digit prime factor of ""^(200)C(100) is

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  12. The number of ordered pairs of positive integers (m, n) satisfying m l...

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  13. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

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  14. z is a complex number such that z+1/z=2cos 3^0 ,then the value of z^(2...

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  15. Let the unit vectors vec a, vec b, vec c be the position vectors of t...

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  16. If A=[{:(1,1),(0,1):}] and B=[{:(sqrt(3)//2,1//2),(-1//2,sqrt(3)//2):}...

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  17. The quadratic x^2+a x=b+1=0 has roots which are positive integers, the...

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  18. If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(...

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  19. The distance of point of intersection of lines (x-4)/1=(x+3)/-4=(z-1)...

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  20. Let A, B, C be points with position vectors r(1)=2hati-hatj+hatk, r(2)...

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