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Find the value of the limit lim(nrarroo)...

Find the value of the limit `lim_(nrarroo)(1^2+2^2+...+n^2)/n^3`

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Lim_(n to oo) (1^2+2^2+ ... +n^2)/n^3 =

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

The value of the limit lim_(nrarroo)((1)/(n+1)+(1)/(n+2)+.......+(1)/(6n)) is

Evaluate : lim_(xrarroo)(1+2+3+...+n)/n^2

Evaluate the following limits : lim_(nrarrinfty)(1^2+2^2+3^2+...+n^2)/(2n^3)

Find the value of lim_(nrarroo)[(1)/(sqrt(2n-1)^(2))+(1)/(sqrt(4n-2^(2)))+...+(1)/(n)] .

Find the values of the follwing limts : underset(nrarroo)"lim"(1.2+2.3+3.4+.....n(n+1))/(n^(3))

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UNITED BOOK HOUSE-TECHNO INDIA GROUP ACADEMIA,SOUTH KOLKATA.-EXERCISE
  1. If p, q, r are in G.P and the equation px^2+2qx+r=0 and dx^2+2ex+f=0 h...

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  2. Show that the points (a,0),(0,b)and (3a,-2b)are collinear.Also find th...

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  3. Find the distance between the parallel lines 4x-3y+5=0 and 4x-3y+7=0.

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  4. Find the equation of a circle through origin which cuts of intercepts ...

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  5. Find the value of the limit lim(nrarroo)(1^2+2^2+...+n^2)/n^3

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  6. If y=sqrt((1-x)/(1+x)),prove that (1-x^2)dy/dx+y=0

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  7. If x^2is an odd number then x is also odd number,justify the validity ...

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  8. If x and y are odd integers, then xy is also an odd integer r examine ...

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  9. In single throw of two dice,the probality of obtaning 'a total of 8' i...

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  10. Find S.D from the following data:

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  11. Solve :sqrt3cosx-sinx=1

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  12. Prove that, cos20^@cos40^@cos60^@cos80^@=1/16

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  13. Exhibit graphically the solution sets of the following system of linea...

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  14. Solve :3x^2+8ix+3=0

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  15. Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11…to n terms.

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  16. There are 10 points in a plane of which 4 are collinear, Find the numb...

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  17. There are 10 points in a plane of which 4 are collinear, find the numb...

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  18. The directrix of a parabola is x+y+4=0and vertex is at (-1,-1).Find th...

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  19. Find the equation of the ellipse whose centre lies at the origin,major...

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  20. In each of the find the equations of the hyperbola satisfying the give...

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