The discussion revolves around evaluating the limit of the expression (x^2+6x+9)/(x-3) as x approaches -3. Participants explore whether the limit exists and what its value might be, focusing on the continuity of the function and the behavior of the numerator and denominator at that point.
Participants generally agree that the limit can be evaluated and that it approaches a finite value, but there is some uncertainty regarding the interpretation of the calculations and the final value.
There is a lack of detailed exploration regarding the steps taken to evaluate the limit, and the discussion does not clarify any assumptions made about the continuity or behavior of the function near x = -3.
This discussion may be useful for students or individuals interested in limit evaluation, particularly in the context of continuous functions and rational expressions.
kendalgenevieve said:Determine the limit, if it exists. If not, explain why it does not exist.
lim x approaches -3 of (x^2+6x+9)/(x-3)
Prove It said:The top and bottom are both continuous at x = -3 and the denominator isn't 0 there, so what do you think the limit is?
kendalgenevieve said:When I solved it I got a 0/-6 so would the limit be just zero?