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continuous at x = 0 Let f(x) = {{:((1...

continuous at x = 0
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) continuous at x = 0 .

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The correct Answer is:
`a=(2)/(5),b=e^(2//3)`
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