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The value of lim(nrarrinfty) ("sin"(pi)/...

The value of `lim_(nrarrinfty) ("sin"(pi)/(2n)."sin"(2pi)/(2n)."sin"(3pi)/(2n)..."sin"((n-1)pi)/(2n))^(1/n)` is equal to

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

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    A
    `1/(2)`
    B
    `1/(3)`
    C
    `1/(4)`
    D
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    B
    `1/(3)`
    C
    `1/(4)`
    D
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  • The value of sin^(-1)(sin""(2pi)/3) would be :

    A
    `(2pi)/3`
    B
    `-(2pi)/3`
    C
    `pi/3`
    D
    `(4pi)/3`
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