Question

find the following limit or state that it does not exist.
(lim_{x \to 3} 1)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. (lim_{x \to 3} 1 = square) (simplify your answer)

b. the limit does not exist.

Explanation:

Step1: Recall the limit rule for constant functions

The limit of a constant function \( f(x) = c \) as \( x \) approaches any value \( a \) is the constant itself, i.e., \( \lim_{x \to a} c = c \).

Step2: Apply the rule to the given limit

Here, the function is \( f(x) = 1 \) (a constant function) and we are finding the limit as \( x \to 3 \). Using the above rule, \( \lim_{x \to 3} 1 = 1 \).

Answer:

A. \( \lim\limits_{x \to 3} 1 = \boxed{1} \)