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The following functions are continuous o...

The following functions are continuous on `(0, pi)`
(a) `tan x`
(b)`underset(0)overset(x)int t "sin"(1)/(t)dt`
(c)`{{:(,-1,0 lt xle (3pi)/(4)),(,2sin((2)/(9)x),(3pi)/(4)lt xlt pi):}`
(d)`{{:(,x sin x,0 lt x le (pi)/(2)),(,(pi)/(2)sin(pi+x),(pi)/(2)lt x lt pi):}`

A

tan x

B

`underset(0)overset(x)int t "sin"(1)/(t)dt`

C

`{{:(,-1,0 lt xle (3pi)/(4)),(,2sin((2)/(9)x),(3pi)/(4)lt xlt pi):}`

D

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

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