Answer:
a. 3
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 2} \sqrt{x^2 + 2x + 1}[/tex]
Step 2: Evaluate
- Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 2} \sqrt{x^2 + 2x + 1} = \sqrt{2^2 + 2(2) + 1}[/tex]
- Simplify: [tex]\displaystyle \lim_{x \to 2} \sqrt{x^2 + 2x + 1} = 3[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
