Limits at Infinity Sometimes we want to know what happens to (x) as gets large, that is, the end behavior of . f x f The symbol does not represent a number. Writing means that we consider arbitrarily large x ∞ → ∞ values of If the limit of (x) as or -∞ is we say that the graph of has = as a x. f x x L, f y L → ∞ → Problem asks for a formal definition of limx→∞ (x). horizontal asymptote. f
Limits at Infinity Sometimes we want to know what happens to f (x) as x gets large, that is, the end behavior of f . The symbol ∞ does not represent a number. Writing x → ∞ means that we consider arbitrarily large values of x. If the limit of f (x) as x → ∞ or x → -∞ is L, we say that the graph of f has y = L as a horizontal asymptote. Problem asks for a formal definition of limx→∞ f (x).
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