Calcule os seguintes limites:
1)$\lim_{x \to{1}}\frac{x-1}{x^2-1}=\lim_{x \to{1}}\frac{x-1}{(x-1)(x+1)}=\\\lim_{x \to{1}}\frac{1}{x+1}=\lim_{x \to{1}}=\frac{1}{2}$
2)$\lim_{x \to{2}}\frac{x-2}{\sqrt{x}-\sqrt{2}}=\lim_{x \to{2}}\frac{(\sqrt{x}-\sqrt{2})(\sqrt{x}+\sqrt{2})}{\sqrt{x}-\sqrt{2}}=\lim_{x \to{2}}\sqrt{x}-\sqrt{2}=\\\lim_{x \to{2}}{2\sqrt{2}}$\\
3)$\lim_{x \to{1}}\frac{x^2 + 4x - 5}{x^2-1}=\lim_{x \to{1}}\frac{(x+5)(x-1)}{(x-1)(x+1)}\\
\lim_{x \to{1}}\frac{(x+5)}{(x+1)}=\frac{6}{2}=3$
4)$\lim_{x \to{-2}}\frac{x+2}{x^3-8}=\lim_{x \to{-2}}\frac{x+2}{x^3-8}\\=\lim_{x \to{-2}}\frac{x+2}{(x-2)(x^2-2x+4)}=\lim_{x \to{-2}}\frac{1}{x^2-2x+4}=\frac{1}{12}$
Poste seu comentário!:
0 comments:
Segue alguns símbolos, caso necessitem utilizá-los:
____________________________________________
α β γ δ ∆ λ μ Ω ο ρ φ χ ψ ξ ε η θ π ∂ ∑ ∏ ℮ אօ ∞ ℝ ℕ ℚ ℤ Ø f◦g
½ ¼ ¾ ½ ⅓ ⅔ ⅛ ⅜ ⅝ ⅞ ² ³ ¹ º ª ₁ ₂ ₃ ₄ ≈ ≠ ≡ ∀ ∃ ⇒ ⇔ → ↔
∈∋∧ ∨ ⊂ ⊃ ∩ ∪ − + × ± ∓ ÷ √ ∛ ∜ ⊿∟ ∠→ ↑ ↓ ↕ ← ≤ ≥
outros
√ ∇ ∂ ∑ ∏ ∫ ≠ ≤ ≥ ∼ ≈ ≅ ≡ ∝ ⇒ ⇔ ∈ ∉ ⊂ ⊃ ⊆ ⊇ \ ∩ ∪ ∧ ∨ ∀ ∃ ℜ ℑ