The discussion revolves around evaluating a limit that results in the indeterminate form 0/0 when direct substitution is applied. The original poster is tasked with using the squeeze theorem to resolve the limit, but expresses uncertainty about how to proceed.
The conversation is ongoing, with participants clarifying the problem statement and exploring different approaches. There is no explicit consensus on the best method yet, but some guidance has been offered regarding algebraic simplification.
Participants are navigating the constraints of the problem, including the requirement to use the squeeze theorem and the presence of an indeterminate form. The format of the forum posts has also caused some confusion regarding the problem's expression.
Are you sure the problem is what you state, which is equivalent to \displaystyle \lim_{x\to3}\left((x^2-9)\left(x-\frac{3}{|x-3|}\right)\right)\,, or is it \displaystyle \lim_{x\to3}\left((x^2-9)\frac{x-3}{|x-3|}\right)\,?LOLItsAJ said:Homework Statement
I have a limit, which when substitution is used the indeterminate form 0/0 occurs. I've been asked to solve the limit by using the squeeze theorem. I really have no idea where to take this.
Homework Equations
Lim (x^2-9)(x-3/|x-3|)
x\rightarrow3
The Attempt at a Solution
I've tried so many attempts at this problem, posting all my work would be massive.