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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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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...

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  2. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

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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. about to only mathematics

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  5. about to only mathematics

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  6. about to only mathematics

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  7. Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle....

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  8. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  9. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  10. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

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  11. Let f:[-1,2]vec[0,oo) be a continuous function such that f(x)=f(1-x)fo...

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  12. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

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  13. The area of the region between the curves y=sqrt((1+sinx)/(cos x)) and...

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  14. Let S be the area of the region enclosed by y-e^(-x^(2)),y=0, x=0 and ...

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  15. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

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  16. For which of the following values of m is the area of the regions boun...

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  17. If [4a2 4a 1 4b2 4b 1 4c2 4c 1] [f-1 f1 f2] = [3a2 + 3a 3b2 + 3b 3c2 +...

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  18. Find the area bounded by the curve x^2=y ,x^2=-ya n dy^2=4x-3

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  19. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

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  20. Find the area of the region bounded by the curves y=x^2,y=|2-x^2|,a n ...

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