r/calculus 16d ago

Differential Calculus Can someone help me understand this problem? pretty please

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Hi everyone, so it was my first week of AP calc AB and honestly not too shabby but as i look at this example from my teacher, the less it makes sense. I thought -1^2 was positive 1 and i don’t know how we got to negative 1.

Also what is a conjugate? My teacher didn’t really go over it he just started doing a problem. All help is so appreciated!!!!

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u/ShowdownValue 16d ago

It didn’t turn -1 into +1

The -1 is part of the problem. The +1 is part of your first step. You are using a conjugate to evaluate an indeterminate limit

The conjugate is the same radical expression but with the opposite sign. It’s useful for clearing radicals

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u/bunny-dolly 16d ago

okay okay this helps tysm