Can (infinity) and (-infinity) respectively be written in the marked portions instead of 0?

Dear Student,
-infinity and infinity cannot be written because the first case deals with only positive x i.e. x>=0. So x cannot be negative . Hence it should be as written in the solution.
Similarily, in the second case x is considered negative so it cannot be greater than 0 . Hence x is correctly written in the solution.
Regards

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