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Show that ("lim")(n vec oo)(1/(n+1)+1/(n...

Show that `("lim")_(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

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  2. "I f"(x)={((e^x-1)xsinx)/(x^n),x >0 0,x=0 is derivable at x=0 then in...

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  3. Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

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  4. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

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  5. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

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  6. about to only mathematics

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  7. If sum(k=0)^5^5Cksink xcos(5-k)x=Nsin5x where N is some natural number...

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  8. Let (6sqrt(6)+14)^(2n+1)=R, if f be the fractional part of R, then pro...

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  9. The range of the function f(x) = sqrt(4 - x^(2)) + sqrt(x^(2) - 1) is ...

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  10. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

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  11. The number of different quadrilaterals that can be formed by using the...

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  12. The number of points of intersection of diagonals which lie within the...

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  13. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

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  14. Solution of (dy)/(dx)(x^2y^3+x y)=1 is , e^(y^(2)/p)(1/x+y^r-q)=...

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  15. int"x"^(-2//3)(1+"x"^(1//2))^(-5//3)dx=p(1+x^(1//2))^(r/s),w h e r er ...

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  16. If f(x)={{:(px+sqrtq,x ge2),(x^(2)-5x+6,2 lt xlt3),((ax)^(2)+bx+1, x g...

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  17. The maximum possible integral value of (beta-alpha)/(tan^(-1)beta - ta...

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  18. If z lies on the curve a r g(z+1)=pi/4 , then the minimum value of |z-...

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  19. If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [...

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  20. Find the standard deviation for the following data: (i) x : , 3, 8, 13...

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