Answer:
[tex]\displaystyle \lim_{x \to 3^+} f(x) = 2[/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:
We are given the limit and the graph of f(x):
[tex]\displaystyle \lim_{x \to 3^+} f(x)[/tex]
We are trying to find what the value of f(x) is when we approach x = 3 from the right. As we follow the piecewise function from the right, we see that as [tex]\displaystyle \text{f(x)}[/tex] approaches x= 3, we have f(x) approaching 2.
∴ [tex]\displaystyle \lim_{x \to 3^+} f(x) = 2[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
