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underset(ntoprop)(lim)(n)/(3){((3)/(n)+(...

`underset(ntoprop)(lim)(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_(ntoprop) (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

Find underset(n to oo)lim ((2n^(3))/(2n^(2)+3)+(1-5n^(2))/(5n+1))

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 rarr oo)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))+...+(n)/(n^(2)))

lim_(n rarr oo) [(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+(n+3)/(n^(2)+3^(2))+.....+(1)/(n)]

(9^(n)xx3^(2)xx3^(n)-(27)^(n))/((3^(3))^(5)xx2^(3))=(1)/(27)

lim_(n rarr oo)(2^(3n))/(3^(2n))=

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

lim_(n rarr oo)[(1^(2))/(n^(3))+(2^(2))/(n^(3))+(3^(2))/(n^(3))+...+(n^(2))/(n^(3))]=?

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. If the roots of ht 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. underset(ntoprop)(lim)(n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/...

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  4. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

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

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  6. 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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  7. Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 ...

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

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

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

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  11. The value of the definite integral int0^(pi/2) ((1+sin3x)/(1+2sinx)) d...

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

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  13. if x=1^1/1+2^2/3+...1001^2/2001, y=1^1/3+2^2/5+...1001^2/2003 then ([x...

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

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  15. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

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

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  17. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

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  18. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

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  19. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

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  20. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

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