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The value of lim(xrarr0)(1)/(x^(3))int(x...

The value of `lim_(xrarr0)(1)/(x^(3))int_(x)^(0) (tln(1+t))/(t^(4)+4) dt` is

A

0

B

`1/12`

C

`1/24`

D

`1/64`

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Verified by Experts

The correct Answer is:
B
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
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  2. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

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  3. The value of lim(xrarr0)(1)/(x^(3))int(x)^(0) (tln(1+t))/(t^(4)+4) dt ...

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  4. The value(s) of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2))dx is are

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  5. Let f be a real-valued function defined on the interval (0,oo) by f(x)...

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  6. For any real number, let [x] denotes the largest integer less than or ...

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  7. Let f be a real-valued function defined on the interval (-1,1) such th...

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  8. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  9. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  10. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  11. The value of int(sqrt(ln2))^(ln3)(xsinx^(2))/(sinx^(2)+sin(ln6-x^(2)))...

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  12. Let the straight line x = b divide the area enclosed by y = (1-x)^(2),...

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  13. Let f : [-1,2]rarr[0,oo) be a continuous function such that f(x) = f(1...

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  14. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

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  15. The value of the integral int(-pi//2)^(pi//2) (x^(2)+ln'(pi+x)/(x-a)) ...

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  16. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

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  17. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

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  18. If f(x) = int(0)^(x) e^(t^(2)) (t-2) (t-3) dt for all x in (0, oo) , t...

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  19. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

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  20. Let f : [1/2, 1] rarr R (the set of the all real numbers) be a positiv...

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