Answer:
\(\displaystyle \lim_{ \to 3^-} \frac{1}{x - 3} = -\infty\)
General Formulas and Concepts:
Calculus
Limits
- Right-Side Limit: \(\displaystyle \lim_{x \to c^+} f(x)\)
- Left-Side Limit: \(\displaystyle \lim_{x \to c^-} f(x)\)
Graphical Limits
Step-by-step explanation:
If we graph the function, we can see that as we approach 3 from the left, we go towards negative infinity.
∴ \(\displaystyle \lim_{ \to 3^-} \frac{1}{x - 3} = -\infty\)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
