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Let f(x) = {{:({1 + |sin x|}^(a//|sin x|...

Let `f(x) = {{:({1 + |sin x|}^(a//|sin x|)",",-pi//6 lt x lt 0),(b",",x = 0),(e^(tan 2x//tan 3x)",",0 lt x lt pi//6):}` Determine a and b such that f(x) is continuous at x = 0

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The correct Answer is:
`a=2/3,b=e^(2//3)`
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