Question

What is the scenario when the limit as x goes to infinity is zero?

A) Horizontal asymptote
B) Vertical asymptote
C) Slant asymptote
D) No asymptote

Answer 1

The scenario when the limit as x goes to infinity is zero is a horizontal asymptote. A horizontal asymptote is a horizontal line that the function approaches as x approaches positive or negative infinity.

Step-by-step explanation:

The scenario when the limit as x goes to infinity is zero is a horizontal asymptote. A horizontal asymptote is a horizontal line that the function approaches as x approaches positive or negative infinity. It represents the behavior of the function at the far ends of the x-axis.

For example, let's consider the function y = 1/x. As x approaches positive or negative infinity, the value of 1/x approaches zero. Therefore, the graph of this function approaches the x-axis (y = 0) as x goes to infinity.