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Let f(x) ={{:((1-sin x)/(pi-2x)",","when...

Let `f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","when" x-(pi)/(2)):}` If `lim _(x to (pi)/(2))f(x)=f ((pi)/(2)),` then the value of `lamda` is-

A

-2

B

2

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  8. If f(x) is a differentiable function for all x gt 0 and lim(y to x)(y...

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  11. The value of int(0)^(1.5)[x^(2)]dx is -

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  13. The value of int(0)^((pi)/(2)) (sinx dx)/(sin x+cos x) is equal to -

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  14. The value of the integral int(-(pi)/(7))^((pi)/(7))x^(3)sin^(2)x dx is...

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  15. int"cosec"^(4)x dx is equal to -

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  16. The value of int(dx)/(2sqrt(x)(x+1)) is -

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  17. The value of the integral int(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is...

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  18. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

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  19. The value of int(0)^(1000)e^(x-[x])dx is equal to -

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  20. int(0)^(2a)f(x)dx is equal to -

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