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Prove that,lim(nrarrprop)(1^3+2^3+3^3+.....

Prove that,`lim_(nrarrprop)(1^3+2^3+3^3+....+n^3)/n^4=1/4`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
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  2. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

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  3. The sum of an infinite G.P series is 15 and the sum of the squares of ...

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  4. How many different arrangements be' possible in’EXAMINATION where two ...

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  5. A ray of light comming from (1, 2) to the x axis at A and reflecting w...

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  6. The co-ordinate of the two verties of a trainge are (15, 0) and (0 ,10...

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  7. Find the equation of the concentric- cricle of the circle x^2 + y^2 — ...

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  8. The distance between the point on x axis and (3, 2, —4) is m unit.Find...

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  9. Prove that,lim(nrarrprop)(1^3+2^3+3^3+....+n^3)/n^4=1/4

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  10. If y=(xsinx+cosx)/(xcosx-sinx),then show that dy/dx=x^2/(xcosx-sinx)^2

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  11. If n is a such real number that n>3 .then n^2>9 prove it by the method...

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  12. The mean and SD of 20 items were found to be 12.5 and 2.1 resp.After ...

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  13. Out of 15 articles in a box, three of. them are defective. If 5 articl...

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  14. In /\ABC,if (a^2+b^2)sin(A-B)=(a^2-b^2)sin (A+B),show that the triangl...

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  15. State the fundamental theorem of algebra Solve : ix^2 - x + 12i = 0

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  16. If S be the sum. P be the product,and R the sum of the reciprocals of ...

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  17. Exhibit graphically the solution region of the following system of 'in...

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  18. In quadrilateral PQRS, there are 3, 4, 5, 6 points are taken on PQ. QR...

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  19. If the extremitied of a focal chord of the parabola y^2=4axbe (at1^2,2...

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  20. Find the equation of an ellipse which passes through the point (-2, 2)...

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