Final answer:
The statement that infinity is a real number and therefore the limit exists is False. In mathematics, infinity is not considered a real number. It is a concept that represents a quantity that is larger than any real number. As such, infinity does not have a well-defined value and cannot be included in the set of real numbers. So, the correct answer is b)False.
Step-by-step explanation:
The statement that [infinity] is a real number and therefore the limit exists is False.
In mathematics, infinity is not considered a real number. It is a concept that represents a quantity that is larger than any real number. As such, infinity does not have a well-defined value and cannot be included in the set of real numbers.
Limits can exist for real numbers, but not for infinity.
Thus, the correct answer is b)False.