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The value of lim(x to 0)(1+3x)^((x+2)/(x...

The value of `lim_(x to 0)(1+3x)^((x+2)/(x))` is -

A

`e^(3)`

B

`e^(6)`

C

`e^(5)`

D

e

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
  1. The derivative of the function f(x)=log(5)(log(7)x)[x gt 7] is -

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  2. If 2y=(x-a)sqrt(2ax-x^(2))+a^(2)"sin"^(-1)(x-a)/(a), then the value of...

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  3. The value of lim(x to 0)(1+3x)^((x+2)/(x)) is -

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  4. If y=x^(3) then the value of ((d^(2)y)/(dx^(2)))/([1+((dy)/(dx))^(2)]^...

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  5. If x=(1)/(z), y=f(x) and (d^(2)y)/(dx^(2))=kz^(3)(dy)/(dz)+z^(4)(d^(2...

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  6. If xy=ax^(2)+(b)/(x), then the value of x^(2)(d^(2)y)/(dx^(2))+2x(dy...

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  7. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

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  8. Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) i...

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  9. If int f(x) dx=f(x), then int {f(x)}^(2)dx is equal to -

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  10. The value of int(sqrt(tanx))/(sinx cosx)dx is equal to -

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  11. The value of int(0)^((pi)/(2))x sin x dx is equal to -

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  12. int(-2)^(2)(|x|+|x-1|)dx is equal to -

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  13. The value of int(0)^((pi)/(2))log(tan x)dx is equal to -

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  14. The value of int(0)^(pi)log sin^(2)x dx is equal to -

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  15. The value of the integral int(1)^(e ) (log x)^(2)dx is -

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  16. The value of int(dx)/(e^(x)+e^(-x)) is equal to -

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  17. For an integrable function f(x) in [-3, 3], int(-3)^(3) f(x)dx=0 when...

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  18. If I(m)=int(1)^(e )(log(e)x)^(m)dx, then the value of (I(m)+mI(m-1)) i...

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  19. If (d)/(dx)f(x)=g(x), then the value of int(a)^(b)f(x)g(x)dx is -

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  20. The value of the integral int(0)^(1) x(1-x)^(n)dx is -

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