Answer:
[tex]\displaystyle \lim_{ \to 3^-} \frac{1}{x - 3} = -\infty[/tex]
General Formulas and Concepts:
Calculus
Limits
- Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]
- Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]
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.
∴ [tex]\displaystyle \lim_{ \to 3^-} \frac{1}{x - 3} = -\infty[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
