Question

Use the given facts about the functions to find the indicated limit.
(picture below)

Answer 1

a. 3

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:
`\displaystyle \lim_(x \to c) x = c`

Explanation:

Step 1: Define

Identify

`\displaystyle \lim_(x \to 2) √(x^2 + 2x + 1)`

Step 2: Evaluate

1. Limit Rule [Variable Direct Substitution]:
   `\displaystyle \lim_(x \to 2) √(x^2 + 2x + 1) = √(2^2 + 2(2) + 1)`
2. Simplify:
   `\displaystyle \lim_(x \to 2) √(x^2 + 2x + 1) = 3`

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits