Question

question 1
what word or phrase best fits in the blank below?
\if $lim_{x \to a} f(x) = l$, then when $x$ is near $a$ the corresponding values of $f(x)$ are close (________) to $l$.\
○ and always equal
○ but slightly larger when compared
○ but slightly smaller when compared
○ as they can be
○ but never equal
○ and possibly equal

Explanation:

The definition of a limit $\lim_{x \to a} f(x) = L$ states that as $x$ approaches (gets close to) $a$, the values of $f(x)$ approach (get close to) $L$. The function values can be greater than, less than, or equal to $L$ when $x$ is near $a$; there is no restriction that they must be strictly larger, smaller, or always equal.

Answer:

○ and possibly equal