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Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) ...

Let `g(x)=int_0^x(3t^(2)+2t+9)dt and f(x) ` be a decreasing function `forallxge0` such that `AB=f(x)hat(i)+g(x)hat(j) and AC=g(x)hat(i)+f(x)hat(j)` are the two smallest sides of a triangle ABC whose circumcentre lies outside the triangle `forall cgto.` Q. `lim_(t to0)lim_(xtoinfty)(cos((pi)/(4)(1-t^(2)))^(f(x)g(x)))`

A

`0`

B

`1`

C

e

D

does not exist

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The correct Answer is:
A
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