Question

If a limit is 0/0 indeterminate form, further investigation is required to determine whether the limit exists or not, and to find its value if it does exist

a)True
b)False

Answer 1

True, a 0/0 indeterminate form for a limit requires further techniques like factoring or L'Hôpital's rule to evaluate the function's behavior and find the limit.

Step-by-step explanation:

The statement is true; if a limit presents a 0/0 indeterminate form, further investigation is indeed required to determine the existence of the limit and its value. In calculus, encountering 0/0 indicates that we need to apply different methods such as factoring, conjugation, or L'Hôpital's rule to simplify the limit and find its value.

These methods help to reveal the behavior of the function as it approaches the point of indeterminacy, allowing us to determine the actual limit, if it exists.