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Let [x] denote the greatest integer less...

Let [x] denote the greatest integer less than or equal to x for any real number x. Then `lim_(n to oo) ([n sqrt(2)])/(n)` is equal to

A

0

B

2

C

`sqrt(2)`

D

1

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

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  2. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

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  3. Let [x] denote the greatest integer less than or equal to x for any re...

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  4. Suppose that f(x) is a differentiable function such that f'(x) is con...

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  5. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

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  6. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

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  7. The curve y=(cosx+y)^(1//2) satisfies the differential equation

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  8. In the Argand plane, the distinct roots of 1+z+z^(3)+z^(4)=0(z is a co...

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  9. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

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  10. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

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  11. A fair six-faced die is rolled 12 times. The probability that each fac...

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  12. If alpha, beta are the roots of the quadratic equation x^(2)+px+q=0, t...

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  13. The solution of the differential equation (dy)/(dx)+(y)/(x log(e )x)...

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  14. Let f(x) = max {x+|x|, x-[x]}, where [x] denotes the greatest integer ...

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  15. Let X(n)={z=x+iy:|z|^(2) le (1)/(n)} for all integers n ge 1. Then cap...

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  16. Applying Lagrange's Mean Value Theorem for a suitable function f(x) is...

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  17. The equation of hyperbola whose coordinates of the foci are (pm8,0) a...

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  18. A student answers a multiple choice question with 5 alternatives, of ...

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  19. "cos"(2pi)/(7) +"cos"(4pi)/(7)+"cos"(6pi)/(7)

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  20. Suppose M= int(0)^(pi//2) (cos x)/(x+2) dx, N=int(0)^(pi//4) (sinx" "c...

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