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lim(xrarroo)((int(0)^(x)e^(t^(2))dt)^(2)...

`lim_(xrarroo)((int_(0)^(x)e^(t^(2))dt)^(2))/(int_(0)^(x)e^(2t^(2))dt)` is equal to

A

1

B

0

C

`-1`

D

none of these

Text Solution

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The correct Answer is:
B
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FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. Find the value of int(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx.

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  2. he value of l =int0^3([x]+[x+1/3]+[x+2/3])dx where [.] denotes the gre...

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  3. lim(xrarroo)((int(0)^(x)e^(t^(2))dt)^(2))/(int(0)^(x)e^(2t^(2))dt) is ...

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  4. Let T >0 be a fixed real number. Suppose f is continuous function such...

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  5. The true solution set of the inequality, sqrt(5x-6-x^2)+(pi/2int0^x dz...

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  6. Let a, b, c be non zero numbers such that int(0)^(3)sqrt(x^(2)+x+1)(...

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  7. Let f be a non-negative function defined on the interval .[0,1].If int...

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  8. Let (a, b) and (lambda,mu) be two points on the curve y = f(x) . If th...

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  9. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

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  10. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

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  11. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

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  12. Let f(x)=int(2)^(x)f(t^(2)-3t+4)dt. Then

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  13. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

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  14. Let f:RrarrR be a continuous and bijective function defined such that ...

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  15. Let f:RrarrR be a continuous and bijective function defined such that ...

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  16. Let f:RrarrR be a continuous and bijective function defined such that ...

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  17. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

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  18. the value of int0^1 e^(2x-[2x]) d(x-[x])

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  19. If f(x)=int1^x(lnt)/(1+t)dt, then

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  20. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

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