1.

Let the incircle of DeltaABC touches the sides BC, CA, AB at A_(1), B_(1),C_(1) respectively. The incircle ofDeltaA_(1)B_(1)C_(1) touches its sides of B_(1)C_(1), C_(1)A_(1) and A_(1)B_(1)" at " A_(2), B_(2), C_(2) respectively and so on. Q. lim_(n to oo) angleA_(n)=

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0
`(PI)/(6)`
`(pi)/(4)`
`(pi)/(3)`

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