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Let S(n)=underset(k=1)overset(n)sum (n)/...

Let `S_(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T_(n)=underset(k=0)overset(n-1)sum(n)/(n^(2)+nk+k^(2))` for `n=1, 1,2,3...,` they

A

`S_nltpi/(3sqrt3)`

B

`S_ngtpi/(3sqrt3)`

C

`T_nltpi/(3sqrt3)`

D

`T_ngepi/(3sqrt3)`

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KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
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  2. If n is a natural number,then

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  3. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

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  4. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

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  8. For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...

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  9. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

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  10. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  13. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

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  14. If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...

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  15. A variable point P on the ellipse of eccentricity e is joined to the f...

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  16. Letz,z0be two complex numbers z0being the cojugate of z0. The numbers ...

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  17. A person throws dice, one the common cube and the other reglowest tera...

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  18. The integers x,y and z each are perfect squares and x>y>z>0.If x,y,z f...

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  19. let A1,A2,A3,...An are the vertices of a regular n sided polygon inscr...

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