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The value of lim(x to oo) (sqrt(x^(2)+ax...

The value of `lim_(x to oo) (sqrt(x^(2)+ax)-x)` is -

A

`(a)/(2)`

B

2a

C

a

D

4a

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The correct Answer is:
A
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 2
  1. If sin y+e^(-x cos y)=e, then the value of (dy)/(dx) at (1, pi) is -

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  2. If x=2 cos t+cos 2t and y=2 sin t-sin2t, then the value of (dy)/(dx) a...

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  3. The value of lim(x to oo) (sqrt(x^(2)+ax)-x) is -

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  4. If logx=z, then the value of x^(2)(d^(2)y)/(dx^(2)) is -

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  5. The value of int e^(sqrt(x)) dx is -

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  6. If int x sin x dx = - x cosx +m, then the value of m is -

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  7. The value of int (a^(sqrt(x)))/(sqrt(x))dx is -

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  8. The value of int (e^(tan^(-1)x)dx)/(1+x^(2)) is -

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  9. The value of int(0)^((pi)/(2))(dx)/(1+cotx ) is -

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  10. If I(1)=int(e )^(e^(2)) (dx)/(log x) and I(2)= int(1)^(2)(e^(x))/(x)...

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  11. If I(n)=int(0)^((pi)/(4))tan^(n)thetad theta, for any positive intege...

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  12. The value of int(1)^(2)[x^(2)]dx is -

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  13. The value of int(-pi)^(pi) (2x(1+sinx))/(1+cos^(2)x)dx is equal to -

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  14. The value of int(dx)/(sinx-cosx+sqrt(2)) is -

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  15. The value of int(0)^(pi) e^(sin^(2)x) cos^(3)x dx is equal to -

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  16. Let I=int(-2)^(2)(x-[x])dx where [x] represents the greatest integer i...

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  17. The value of int(0)^(pi) (dx)/(5+3 cosx) is -

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  18. The value of int e^(x)[f(x)+f'(x)]dx is equal to -

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  19. The value of int e^(log(tan x))dx is equal to -

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  20. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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