Must the sum of two functions with horizontal asymptotes also have a horizontal asymptote?

Name: Must the sum of two functions with horizontal asymptotes also have a horizontal asymptote?
Brand: Quizplus
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Question

Quizplus · Accepted Answer

If two functions each have horizontal asymptotes, their sum will also have a horizontal asymptote, as the behavior at infinity will be dominated by the horizontal asymptotes of the individual functions.

Must the Sum of Two Functions with Horizontal Asymptotes Also