Questions: Classify the statement as either true or false. lim x → 5 9=9 Choose the correct answer below. false true

Transcript text: Classify the statement as either true or false. \[ \lim _{x \rightarrow 5} 9=9 \] Choose the correct answer below. false true

Solution

Solution Steps

Step 1: Understand the Limit Statement

The statement is: \[ \lim _{x \rightarrow 5} 9 = 9 \] This means we are evaluating the limit of the constant function \( f(x) = 9 \) as \( x \) approaches 5.

Step 2: Evaluate the Limit of a Constant Function

For any constant function \( f(x) = c \), the limit as \( x \) approaches any value \( a \) is always \( c \). This is because the value of the function does not change regardless of the value of \( x \).

Step 3: Apply the Rule to the Given Statement

Since \( f(x) = 9 \) is a constant function, the limit as \( x \) approaches 5 is: \[ \lim _{x \rightarrow 5} 9 = 9 \]