Question

find the limit if it exists.
lim 2x
x→7

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

a. lim 2x = (simplify your answer.)
x→7

b. the limit does not exist.

Explanation:

Step1: Apply limit - value substitution

For the function $y = 2x$, which is a continuous function. We can find the limit as $x
ightarrow7$ by substituting $x = 7$ into the function.
When $x
ightarrow7$, we have $\lim_{x
ightarrow7}2x=2\times7$.

Step2: Calculate the result

$2\times7 = 14$.

Answer:

A. $\lim_{x
ightarrow7}2x = 14$