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Let f(x) = {((1+|sin|)^(a/(|sin x|)),","...

Let `f(x) = {((1+|sin|)^(a/(|sin x|)),",",-(pi)/6 lt x lt 0),(b, ",",x = 0),(e^((tan 2x)/(tan3x)),",",0 lt x lt pi/6):}`
Then the value of a and b if f is continuous at x = 0, are respectively

A

`(2)/(3),(3)/(2)`

B

`(2)/(3),e^(2//3)`

C

`(3)/(2),e^(3//2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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