SOLUTION: Using a numerical approach, evaluate. lim-> 3 {{{(3x^2-2x+6-9x^2)/(x-3)}}}

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Question 828897: Using a numerical approach, evaluate.
lim-> 3 %283x%5E2-2x%2B6-9x%5E2%29%2F%28x-3%29
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The expression in that form cannot accept x at 3.

First simplify numerator:
%28-6x%5E2-2x%2B6%29%2F%28x-3%29
'
Divide numerator and denom by x:
%281%2Fx%29%28-6x%5E2-2x%2B6%29%2F%28%281%2Fx%29%28x-3%29%29

%28-6x-2%2B6%2Fx%29%2F%281%2B3%2Fx%29
'
NOW What happens if x=3 ? Try it and find the result.