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lim(n to prop) (n)/(3){((3)/(n)+(9)/(n^(...

`lim_(n to prop) (n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2)))^(2)+((3)/(n)+(27)/(n^(2)))^(2)+….+((3)/(n)+(9)/(n))^(2)}` is less than or equal to

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lim_(n to oo) {(1)/(n)+(1)/(n+1)+(1)/(n+2)+...+(1)/(3n)}=

The value of lim_(nrarroo)((e^((1)/(n)))/(n^(2))+(2e^((2)/(n)))/(n^(2))+(3e^((3)/(n)))/(n^(2))+…+(2e^(2))/(n)) is

lim_(n to oo ) {(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+....+ (n)/(n^(2)+n^(2))} is equal to

lim_(n to oo)((1)/(1+n^(3))+(4)/(8+n^(3))+....+(r^(2))/(r^(3)+n^(3))+....+(1)/(2*n^3)

lim_(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))+......+(1)/(5n)) is equal to :

underset(nrarroo)lim[(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+(n+3)/(n^(2)+3^(2))+...+(1)/(n)]

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lim_(nto oo) {(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)} is, equal to

Find n if (9^(3))^(2)=(3^(n))^(3)

Evaluate lim _( x to oo) ((1^(2) )/(n ^(3) +1 ^(3))+(2 ^(2))/(n ^(3) +2 ^(3)) + (3 ^(2))/(n ^(3)+ 3 ^(3))+ .... + (4)/(9n)).

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the roots of the cubic, x^3+a x^2+b x+c=0 are three consecutive pos...

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  2. sum(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=

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  3. lim(n to prop) (n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2))...

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  4. Let a differentiable function f:RtoR be such that for all x and y in R...

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  5. The function y=(2x-1)/(x-2),(x!=2) is its own inverse decrease at all...

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  6. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

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  7. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

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  8. Radius of largest circle with center (0, 1) which can be inscribed ...

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  9. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

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  10. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

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  11. The focal chord of the parabola (y-2)^2=16(x-1) is a tangent to the ...

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  12. If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= h...

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  13. Given three points P, Q, R with P (5, 3) and R lies on the x-axis. I...

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  14. The value of the definite integral int (0)^(pi//2) ((1+ sin 3x)/(1+2 s...

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  15. The minimum area of a triangle formed by any tangent to the elli...

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  16. A number x is chosen at random from the set {1,2,3,4, ………., 100}. Defi...

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  17. If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...

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  18. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  19. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

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  20. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

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