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Tabela de Limites lim f(x) lim g(x) h(x) limh(x) Simbolicamente ±∞ ±∞ f(x) + g(x) ±∞ ±∞±∞→ ±∞ +∞ +∞ f(x)− g(x) ? (+∞)− (+∞) +∞ k f(x) + g(x) +∞ +∞+ k → +∞ −∞ k f(x) + g(x) −∞ −∞+ k → −∞ +∞ +∞ f(x) · g(x) +∞ (+∞) · (+∞)→ +∞ +∞ −∞ f(x) · g(x) −∞ (+∞) · (−∞)→ −∞ +∞ k > 0 f(x) · g(x) +∞ +∞ · k → +∞, k > 0 +∞ k < 0 f(x) · g(x) −∞ +∞ · k → −∞, k < 0 ±∞ 0 f(x) · g(x) ? ±∞ · 0 k ±∞ f(x)/g(x) 0 k/±∞→ 0 ±∞ ±∞ f(x)/g(x) ? ±∞/±∞ k > 0 0+ f(x)/g(x) +∞ k/0+ → +∞, k > 0 +∞ 0+ f(x)/g(x) +∞ +∞/0+ → +∞ k > 0 0− f(x)/g(x) −∞ k/0− → −∞, k > 0 +∞ 0− f(x)/g(x) −∞ −∞/0− → −∞ 0 0 f(x)/g(x) ? 0/0 Limites Fundamentais lim x→0 senx x = 1 lim x→±∞ ( 1 + 1 x )x = e lim x→0 ax − 1 x = ln a 1
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