Verify this question
1. Determine lim as x->3 (3x-8)/(4x-12), if it exists.
(3(3)-8)/(4(3)-12)
=1/0
Therefore it doesn't limit doesn't.
correct.
To verify whether the limit of (3x-8)/(4x-12) exists as x approaches 3, we can evaluate the expression at x=3 and see what value it approaches.
Let's substitute x=3 into the expression:
[(3(3)-8)/(4(3)-12)] = (9-8)/(12-12) = 1/0
Here, we obtain a division by zero. A division by zero is undefined, and this means that the limit at x=3 does not exist. Therefore, the statement "lim as x->3 (3x-8)/(4x-12)" does not exist.