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Evalute : lim(ntooo)[(n)/(n^2+1^2)+(n)/(...

Evalute : `lim_(ntooo)[(n)/(n^2+1^2)+(n)/(n^2+2^2)+........+(1)/(2n)]`.

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The correct Answer is:
`(pi)/(4)`
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CHHAYA PUBLICATION-QUESTIONS PAPER -2019-WBJEE 2019
  1. Evalute : lim(ntooo)[(n)/(n^2+1^2)+(n)/(n^2+2^2)+........+(1)/(2n)].

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  2. lim(xto0+)(x^n lnx),ngt0

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  3. If intcosxlog(tan""(x)/(2))=sinxlog(tan""(x)/(2))+f(x) then f(x) is eq...

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  4. y=intcos{2tan^(-1)sqrt((1-x)/(1+x))}dx is a equation of a family of

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  5. The value of integration int(-(pi)/(4))^((pi)/(4))(lambda|sinx|+(musin...

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  6. The value of lim(xto0)(1)/(x)[inty^ae^(sin^2t)dt-int(x+y)^ae^(sin^2t)d...

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  7. If int2^(2^x)*2^xdx=A*2^(2^x)+c, then A=

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  8. The value of the integral int(-1)^(1){(x^(2015))/(x^2+cosx)}dx is equa...

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  9. lim(ntooo)(3)/(n){1+sqrt((n)/(n+3))+sqrt((n)/(n+6))+sqrt((n)/(n+9))+.....

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  10. The general solution of the differential equation (1+e^((x)/(y)))dx+(1...

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  11. General solution of (x+y)^2(dy)/(dx)=a^2,ane0 is

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  12. Let P(4,3) be a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1. If t...

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  13. If the radius of a spherical balloon increases by 0.1%, then its volum...

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  14. Let A be a square matrix of order 3 whose all entries are 1 and let I3...

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  15. If M is any square matrix of order 3 over R and if M' be the transpose...

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  16. If A=({:(5,5x,x),(0,x,5x),(0,0,5):}) and |A^2|=25, then |x| is equal t...

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  17. Let A and B be two square matrices of order 3 and AB=O3, wher O3 denot...

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  18. Let: RtoR be defined by f(x)=x^2-(x^2)/(1+x^2) for all x inR. Then

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  19. Let the relation p be defined on R as apb iff 1+abgt0. Then

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  20. A problem in mathematics is given to 4 students whose chances of solvi...

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  21. If X is a random variable such that sigma(X)=2.6," then "sigma(1-4X) i...

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