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(The word "infinity" literally means without end.) If the limit is +∞, then the function increases without end. If the limit is −∞, it decreases without end.
Dec 20, 2020 · The limit of f(x) is ∞ as x→∞ if f(x) becomes arbitrarily large as x becomes sufficiently large. The limit of f(x) is −∞ as x→∞ if f(x)<0 ...