Patrick B. answered • 08/29/19

Math and computer tutor/teacher

x^2 - 7x + 12 = ( x - 4 )(x - 3 )

since the limit is approaching 3 from the left, we have x<3,

which means x-3<0.

We can drop the absolute value sign and replace it with 3-x, since it is negative.

This cancels with x-3 in the denominator but leaves as factor of -1.

the function simplifies to -1/(x-4)

the limit is then (-1)/(3-4) = (-1)/(-1) = 1

Cass G.

thank you! This helped so much!08/29/19

Patrick B.

08/29/19