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Intermediate Worksheet: Limits at Infinity 🧮

In this worksheet, you'll tackle fascinating problems dealing with limits at infinity. Master these problems to enhance your calculus skills.

  1. Evaluate the limit: \( \lim_{x \to \infty} \frac{3x^2 + 2x + 1}{4x^2 - x + 5} \)
  2. Find the horizontal asymptote of: \( f(x) = \frac{5x^3 - 4}{x^3 + 2} \)
  3. Determine \( \lim_{x \to -\infty} \frac{7x - 3}{2x^2 + x + 1} \)
  4. What is the end behavior of \( g(x) = \frac{x + 1}{x^2 - 4x + 3} \)?

Need help? Check out our detailed guide on limits.

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