Solution
I read it the other way around - OP has desktop computer with dead monitor, and he/she asks whether he/she can use a laptop screen for that.

Simple answer: No.

weberdarren97

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Aug 10, 2015
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Oh... I feel stupid for not reading it that way.

Anyways, if the laptop has a video out connector (VGA, DVI, HDMI, DP), then you can try using one of those. It may switch over automatically once you connect an external display.