Question

What does the limit approach as x goes to infinity for a given function?

A) Zero
B) Undefined
C) Infinity
D) Finite Value

Answer 1

Option (A), The limit of a function approaches zero as x goes to infinity.

Step-by-step explanation:

When we say that the limit of a function approaches infinity as x goes to infinity, it means that as x gets larger and larger, the value of the function also gets larger and larger without bound. This is often denoted as the limit being equal to infinity.

For example, consider the function y = 1/x. As x approaches infinity, the value of y approaches zero. So the limit of this function as x goes to infinity is zero.

Therefore, the correct answer is A) Zero.