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lim(x rarrpi/4)(int2^(sec^2x) f(t)dt)/(x...

`lim_(x rarrpi/4)(int_2^(sec^2x) f(t)dt)/(x^2-pi^2/16)`

A

`8/pif(2)`

B

`2/pif(2)`

C

`2/pi f frac(1)(2)`

D

4f(2)

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The correct Answer is:
A
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  4. The value of lim(x rarr0)(int0^(x^2) cost^2dt)/(x sin x) is

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  5. If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) gt 0 for all x in R, then lim(...

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  6. If phi(x)=lim(nrarrinfty)(x^(2n)f(x)+g(x))/(1+x^(2n)), then

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  13. Let f(x) = |x|-1|, then points where f(x), is not differentiable is/ar...

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  14. Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, ...

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  16. Let f : R rarr R be any function. Define g : R rarr R by g(x)=|f(x)| f...

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  17. If f(x) = lim(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

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  18. The function f(x)=(sin2x)^(tan^2 2x) is not defined at x=pi/4. The val...

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  19. Let f : R rarr R be a differentiable function having f(2) = 6, f'(2) =...

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