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lim(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(...

`lim_(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(sqrt(1-3/2^n))+1/(sqrt(1-7/2^n))+. . .+1/(sqrt(1-(2^n-1)/2^n)))` is

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lim_(n rarr oo)(sin(1)/(sqrt((n))))((1)/(sqrt(n+1)))^(+(1)/(sqrt(n+2))+(1)/(sqrt(n+2)))

lim_(n rarr oo)(1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)+1))+(1)/(sqrt(n^(2) +2))+...(.1)/(sqrt(n^(2)+2n))=

lim_(n rarr oo)(1+sqrt(n))/(1-sqrt(n))

lim_(nto oo)1/n+(1)/(sqrt(n^(2)+n))+(1)/(sqrt(n^(2)+2n))+...(1)/(sqrt(n^(2)+(n-1)n)) is equal to

lim_(n rarr oo)[(1)/(sqrt(2n-1^(2)))+(1)/(sqrt(4n-2^(2)))+(1)/(sqrt(6n-) 3^(2)))+...+(1)/(n)]

lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2)))) is equal to

lim_(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

lim _( x to oo) (1)/(sqrtn sqrt(n+1))+ (1)/(sqrtn sqrt(n+2)) is equal to :

lim_(n rarr oo) sqrt(n)/sqrt(n+1)=

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. A(-1,1) and B(1,-1) are two points on the curve y^2=2x+2y+1. Tangents ...

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  2. int-3^101 ([sin pi x]+e^[[cos 2pi x]])dx is equal to ? ( where [x] den...

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  3. lim(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(sqrt(1-3/2^n))+1/(sqrt(1-7/2^n...

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  4. Consider the curve y=f(x) passing through the point (1,2) and (8,1) If...

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  5. Let f(x) be a monic quadratic polynomial such that f(1)=1/3 , f(0) =p ...

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  6. Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/...

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  7. From a group of 10 boys B1 , B2 . . . B10 and G1 , G2,. . . ,G5 the nu...

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  8. tan(2tan^-1(1/8)+sec^-1(sqrt5/2)+2 tan^-1(1/5)) is equal to

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  9. Let {3},{6,9,12},{15,18,21,24,27} ,. . . be any sequence, then the sum...

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  10. dy/dx+2ytanx = Sinx , y(pi/3)=0 , maximum value of y(x) is

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  11. Area bounded by the curves y=1 , y=3, y^a=x , (x gt 0) and x=0 is 364/...

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  12. If the line (x+1)/4=(y-2)/3=(z-1)/4 intersects the plane x+y-z=0 at a ...

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  13. The number of 5 digit number's whose product of the digit is 36 is

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  14. If [A](2xx2) and absA=-1 and abs((A+I)(adj A+I))=4 , then abs(Trace (A...

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  15. Let f be a continuous function such that f(3x)-f(x)=x and f(8)=7, then...

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  16. If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1...

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  17. A tangent is drawn to y^2=24x at (alpha,beta) which is perpendicular t...

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  18. Given two GPs 2,2^2,2^3,. . .,2^60 and 4,4^2,. . .,4^n.If G.M of (60+n...

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  19. If p,q,r are positive real number such that (p^2+q^2)x^2-2q(p+r)x+q^2+...

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  20. Let f (x) =3x ^(10) -7x ^(8) +5x^(6) -21 x ^(3) +3x ^(2) -7 265 (lim...

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