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If f(x)={(((1-sin^3x))/(3cos^2x), x lt p...

If `f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):}` is continuous at `x=pi/2`, then the value of `(b/a)^(1/3)` is

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The correct Answer is:
`a=(1)/(2)andb=4`
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