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Estudos Gerais04/10/2025

5) Calcule os limites abaixo. (a) lim (x → -3/4) (16x² - 9)...

  1. Calcule os limites abaixo.

(a) lim (x → -3/4) (16x² - 9) / (4x + 3) (b) lim (x → 0) (1 + (1 / x²)) (c) lim (h → 1) (h² - 4) / (3h³ + 6) (d) lim (x → 2) (x² - x - 6) / (x² - 5x - 14) (e) lim (x → ∞) √(x² + 1 - x) (f) lim (t → 0) (1 - √(1 + t)) / t (g) lim (x → 1/2) ³√(4x² + 4x - 3) / (4x² - 1) (h) lim (x → 1⁻) (x² + 1) / √(9 - t - 3) (i) lim (t → 0) t / (4y³ + 2y² - 5) (j) lim (y → -∞) (8y³ + y + 2) (k) lim (z → -3) (z² - 9) / (z + 3) (l) lim (y → -4) √(5y + 4) / (y - 5)

5) Calcule os limites abaixo.

(a) lim (x → -3/4) (16x² - 9) / (4x + 3)
(b) lim (x → 0) (1 + (1 / x²))
(c) lim (h → 1) (h² - 4) / (3h³ + 6)
(d) lim (x → 2) (x² - x - 6) / (x² - 5x - 14)
(e) lim (x → ∞) √(x² + 1 - x)
(f) lim (t → 0) (1 - √(1 + t)) / t
(g) lim (x → 1/2) ³√(4x² + 4x - 3) / (4x² - 1)
(h) lim (x → 1⁻) (x² + 1) / √(9 - t - 3)
(i) lim (t → 0) t / (4y³ + 2y² - 5)
(j) lim (y → -∞) (8y³ + y + 2)
(k) lim (z → -3) (z² - 9) / (z + 3)
(l) lim (y → -4) √(5y + 4) / (y - 5)
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