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lim(xto2)(sin(e^(x-2)-1))/(log(x-1))...

`lim_(xto2)(sin(e^(x-2)-1))/(log(x-1))`

A

0

B

e

C

`(1)/(e)`

D

1

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2009-MULTIPLE CHOICE QUESTIONS
  1. The domain of definition of the function f(x)=sqrt(1+log(e)(1-x)) is

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  2. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

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  3. lim(xto2)(sin(e^(x-2)-1))/(log(x-1))

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  4. Let f(x)=(sqrt(x+3))/(x+1) then the value of Lt(xto-3-0)f(x) is

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  5. f(x)=x+|x| is continuous for

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  6. prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) ...

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  7. If i=sqrt-1 and n is a positive integer, then i^(n)+i^(n+1)+i^(n+3 is ...

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  8. int(dx)/(x(x+1)) equals

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  9. If x is a positive real number different from 1 such that log(a)^(x),l...

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  10. A line through the point A (2,0) which makes an angle of 30^(@) with t...

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  11. The equation sqrt3sinx+cosx=4 has

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  12. The slope at any point of a curve y=f(x) is given by (dy)/(dx)=3x^(2) ...

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  13. The modulus of (1-i)/(3+i)+(4i)/(5) is

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  14. The equation of the tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,...

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  15. A and B are two independent events such that P(AuuB')=0.8, and P(A)=0....

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  16. The total number of tangents through the point (3,5) that can be drawn...

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  17. The value of lim(ntooo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+.............

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  18. A particle is moving in a straight line. At time, the distance between...

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  19. convert into A+iB form, (1-i)/(3+i)+(4i)/(5)

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  20. The co-ordinates of the foot of the perpendicular from (0, 0) upon the...

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