📘 calculus limits

1. **State the problem.**\nFind the limit $\lim_{x\to 3}\dfrac{x^2-9}{x-3}$.\n\n2. **Use the standard limit idea (factor then cancel).**\nHere the expression is a $0/0$ form when $

1. State the problem: Find $\lim_{x\to 3}\dfrac{x^2-9}{x-3}.$ 2. Identify the form and the factorization rule:

1. State the problem: Evaluate the limit $\n\lim_{x\to 3} \frac{x^2-9}{x-3}$.\n\n2. Identify a common factor to cancel.\n\n3. Factor the numerator: $$x^2-9=(x-3)(x+3).$$\n\n4. Subs