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lim(x to oo)(1+(1)/(x))^(x//2) is equal ...

`lim_(x to oo)(1+(1)/(x))^(x//2)` is equal to

A

e

B

`e^(-1)`

C

`e^(2)`

D

`e^(1//2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
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  2. The point on the curve y^(2)=x, the tangent at which makes an angle 45...

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  3. lim(x to oo)(1+(1)/(x))^(x//2) is equal to

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  4. The value of lim(n to oo) [(n!)/(n^(n))]^((1)/(n)) is equal to -

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  10. If x^(2)+y^(2)=1, the minimum and maximum values of x+y are

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  11. Let f(x)=a^(x)(a gt 0) be written as f(x)=g(x)+h(x), when g (x) is an ...

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  12. A=[(-i,0),(0,i)] then A^(T)A= (where I is 2xx2 identity matrix)

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  13. Show that ,the maximum value of ((1)/(x))^(x) is e^((1)/(e)

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

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

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

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

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

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

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