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If f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)l...

If `f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)log(1+(x^(2))/(3))),"when "x ne 0),(9(log_(e)4)^(3),"when "x =0):}` is a continuous function at x=0, then the value of a is -

A

1

B

2

C

`-(1)/(2)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
  1. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo))), then the value of (dy)/(d...

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  2. If y=log(a)x+log(x)a+log(x)x+log(a)a, then the value of (dy)/(dx) is ...

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  3. If f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)log(1+(x^(2))/(3))),"when "x ne...

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  4. If (x+y)^(m+n)=x^(m)y^(n), then the value of (dy)/(dx) is -

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  5. If x+y=e^(x-y) then the value of (d^(2)y)/(dx^(2)) is -

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  6. If x=2 cos theta-cos 2 theta and y=2 sin theta-sin 2 theta, then the ...

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  7. Let f(x) be differentiable for all x. If f(1)=-2 and f'(x) ge 2 for ...

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  8. The value of the integral int(pi)^(10pi) |sinx|dx is equal to -

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  9. The value of the integral int(dx)/(x^(2)+4x+13) is -

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  10. The value of int(-(1)/(2))^((1)/(2)) cos x log((1-x)/(1+x))dx is -

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  11. The value of the integral int(0)^((pi)/(2))|sinx-cosx|dx is -

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  12. The value of int(0)^(3)(3x+1)/(x^(2)+9)dx is equal to -

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  13. The value of int e^(x)((2+sin2x)/(1+cos2x))dx is equal to -

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  14. The value of int(0)^(1) tan^(-1)((1)/(x^(2)-x+1))dx is equal to -

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  15. The value of int(a^((x)/(2)))/(sqrt(a^(-x)-a^(x)))dx is equal to -

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  16. The value of int(a)^(b)(x)/(|x|)dx, a lt b lt 0, is equal to -

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  17. If g(x)=(1)/(2) [f(x)-f(-x)] defined over -3 le x le 3 and f(x)=2x...

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  18. If I(n)=int(0)^((pi)/(4)) tan^(n)x dx, then the value of (I(8)+I(6)) ...

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  19. The value of lim(n to oo)sum(r=1)^(n)(1)/(n)e^((r)/(n)) is -

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  20. int(0)^(1) sqrt((1-x)/(1+x))dx is equal to -

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