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Lat x=2^((log(2)3) (log(3) 4)....), wher...

Lat `x=2^((log_(2)3) (log_(3) 4)....)`, where the last term in exponent is `log_(99) 100`, then the value of `cos ((xpi)/4)+sin ((x pi)/4)` is equal to -

A

`1`

B

`1/sqrt(2)`

C

`sqrt(2)`

D

`-1`

Text Solution

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The correct Answer is:
D
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