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What is the left-hand limit of f(x)=|x−3|/x−3 as x approaches 3?

A) 1
B) 2
C) 0
D) -1
E) -2

1 answer

as x->3 from the left, (x-3) < 0, so |x-3| = -(x-3).

-(x-3)/(x-3) = -1

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