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Which of the following functions are con...

Which of the following functions are continuous on `(0, pi)`:

A

tan x

B

`int_0^x t sin frac 1t dt`

C

`f(x) = {(1, 0 le x le (3pi)/2), (2 sin 2/9 x,(3pi)/4 lt x lt pi):}`

D

`f(x) = {(x sinx, 0 lt x le pi/2), (pi/2 sin (pi + x), pi/2 lt x pi):}`

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The correct Answer is:
B, C
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