Limit Notation for horizontal asymptotes means that as x approaches positive infinity, f of x approaches a number, and as x approaches negative infinity, f of x approaches a number. x never touches positive infinity, but it can get real close to it. The same goes for negative infinity. The number that f of x approaches is whatever y=. So if it were y=9, then the limit notation would be as x approaches positive infinity, f of x approaches 9 and as x approaches negative infinity, f of x also approaches 9.
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