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If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),"...

If `f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi/6):}`
is continuous at `x = (pi)/6`, then a =

A

`sqrt(3)`

B

`1/(sqrt3)`

C

`-sqrt(3)`

D

`-1/(sqrt3)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
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  19. If {:(f(x),=(sec^2x)^(cot^2x),",",x != 0),(,=k, ",",x = 0):} is con...

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  20. If f(x) is continuous at x = (pi)/2, where f(x) = (sinx)^(1/(pi-2x)), ...

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