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Let S(k) be the sum of an infinite G.P s...

Let `S_(k)` be the sum of an infinite G.P series whose first is k and common ratio is `(k)/(k+1)( k gt 0)`. Then the values of `sum_(k-1)^(oo) ((-1)^(k))/(S_(k))` is equal to

A

`log_(e)4`

B

`log_(e)2-1`

C

`1-log_(e)2`

D

`1-log_(e)4`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

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  2. Examine the consistency of the system of equations x+ y +z=1 2x+...

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  3. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

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  4. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

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  5. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

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  6. A straight line through the point of intersection of the lines x+2y+4=...

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  7. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

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  8. The incentre of an equilateral triangle is (1,1) and the equation of o...

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  9. The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is

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  10. The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is

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  11. Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...

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  12. The area of the region bounded by the curves y=sin^(-1), x+x(1-x) and ...

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  13. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to

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  14. If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...

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  15. Let [x] denote the greates integer less than or equal to x, then the v...

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  16. The points representing the complex number z for which arg ((z-2)/(z+2...

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  17. Let a,b,c,p,q,r be positive real numbers such that a,b,c are in G.P an...

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  18. Let S(k) be the sum of an infinite G.P series whose first is k and com...

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  19. The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots...

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  20. If log(e)(x^(2)-16) le log(e)(4x-11), then

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