Question

In the absence of a specific direction in a limit statement, we will always assume that the limit is two-sided or unrestricted

a)True
b)False

Answer 1

The absence of a specific direction in a limit statement implies that the limit is two-sided or unrestricted.

Step-by-step explanation:

The statement provided is b) False.

Without a specific direction in a limit statement, we always assume that the limit is two-sided or unrestricted. This means that the limit can approach from both the left and right sides of the value. In other words, we consider the limit from both positive and negative directions.

For example, if we have the limit expression lim x → 0 f(x), without any specific restrictions, we would assume that the limit approaches zero from both positive and negative directions.