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Estudos Gerais04/23/2025

3. Calcule os limites com indeterminação. (a) $\lim_{x \to 5...

  1. Calcule os limites com indeterminação. (a) limx5x5x225\lim_{x \to 5} \frac{x-5}{x^2-25} (f) limx3x29x3\lim_{x \to 3} \frac{x^2-9}{x-3} (b) limx3x+3x2+4x+3\lim_{x \to -3} \frac{x+3}{x^2+4x+3} (g) limx4x4x2\lim_{x \to 4} \frac{x-4}{\sqrt{x}-2} (c) limt1t2+t2t21\lim_{t \to 1} \frac{t^2+t-2}{t^2-1} (h) limx2x2+124x2\lim_{x \to 2} \frac{\sqrt{x^2+12}-4}{x-2} (d) limx22x4x2+2x\lim_{x \to -2} \frac{-2x-4}{x^2+2x} (i) limx32x2+5x+3\lim_{x \to -3} \frac{2-\sqrt{x^2+5}}{x+3} (e) limu1u21u1\lim_{u \to 1} \frac{u^2-1}{u-1} (j) limx14x5x2+9\lim_{x \to 1} \frac{4-x}{5-\sqrt{x^2+9}}

Apenas a letra H.

3. Calcule os limites com indeterminação.
(a) $\lim_{x \to 5} \frac{x-5}{x^2-25}$
(f) $\lim_{x \to 3} \frac{x^2-9}{x-3}$
(b) $\lim_{x \to -3} \frac{x+3}{x^2+4x+3}$
(g) $\lim_{x \to 4} \frac{x-4}{\sqrt{x}-2}$
(c) $\lim_{t \to 1} \frac{t^2+t-2}{t^2-1}$
(h) $\lim_{x \to 2} \frac{\sqrt{x^2+12}-4}{x-2}$
(d) $\lim_{x \to -2} \frac{-2x-4}{x^2+2x}$
(i) $\lim_{x \to -3} \frac{2-\sqrt{x^2+5}}{x+3}$
(e) $\lim_{u \to 1} \frac{u^2-1}{u-1}$
(j) $\lim_{x \to 1} \frac{4-x}{5-\sqrt{x^2+9}}$
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