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The sum of the series 1+(1)/(3.9)+(1)/(5...

The sum of the series `1+(1)/(3.9)+(1)/(5.81)+(1)/(7.729)+…….` to `oo` is

A

`(2)/(3)"log"_(e )(3)/(2)`

B

`(2)/(3)"log"_(10)(3)/(2)`

C

`(3)/(2)log_(e )2`

D

`(3)/(2)log_(e )3`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. Show that ,the maximum value of ((1)/(x))^(x) is e^((1)/(e)

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  2. The value of the integeral int(-pi//7)^(pi//7)x^(3) cos^(2)x dx is

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  3. The sum of the series 1+(1)/(3.9)+(1)/(5.81)+(1)/(7.729)+……. to oo is

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  4. Using integration find the area of the region bounded by the parabola ...

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  5. If m and n denote respectively the order and degree of a differential ...

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  6. A particle is moving along the x - axis in such a way that it has disp...

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  7. The identity mapping I(c ) : S to S is defined as I(s)(x)=x for x in S...

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  8. If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4), then the locus of (x, y)...

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  9. Solve the equation (dy)/(dx)+y/x=x^2

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  10. A partiole is moving in a straight line such that its velocity at time...

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  11. For an integrable function f (x) in [-3, 3], which of the following is...

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  12. The area bounded by the parabola y^(2)=2x+1 and the line x-y=1 is

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  13. If the circles x^(2)+y^(2)-4r x-2ry+4r^(2)=0 and x^(2)+y^(2)=25 touch ...

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  14. The minimum value of 6 cos alpha + 8 sin alpha + 11 is

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  15. If alpha, beta be the roots of the equation x^(2)+x+1=0, the value of ...

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  16. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

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  17. Let f(x)=(ax)/(x+1), x ne1, then the value of 'a' for which f[f(x)]=x ...

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  18. If x in[0,6], the probability that the expression x^(2)-7x+10 ge 0 is

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  19. Let f(x+y)=f(x)f(y)AA x, in IR, f(6)=5 and f'(0)=1. Then the value of ...

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  20. If the ratio of the sides of a triangle is 4 : 5 : 7, then the triangl...

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