Question

find the following limit or state that it does not exist.

\\\lim_{x \to 1} (2x - 5)\\

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

a. \\\lim_{x \to 1} (2x - 5) = \quad\\ (simplify your answer.)
b. the limit does not exist.

Explanation:

Evaluate the limit using direct substitution

$$ \lim_{x \to 1} (2x - 5) = 2(1) - 5 = -3 $$

Answer:

• (A) \(\lim_{x \to 1} (2x - 5) = -3\) (Correct answer)
• (B) The limit does not exist.