https://file.aiquickdraw.com/mathbot/file/172658409786710l6k8s9.jpg

The limit of the given expression as \( x \to \infty \) does not exist, as the result tends to \( -\infty \).

Would you like a detailed step-by-step breakdown of how this result is obtained?

Here are 5 related questions for further practice:
1. What is the limit as \( x \to \infty \) for \( \frac{x^2 + 4x + 5}{x + 1} \)?
2. How do we handle indeterminate forms when calculating limits?
3. What is the horizontal asymptote of \( \frac{2x^2 - 5x + 1}{x^2 + 3x + 2} \)?
4. Can you compute the limit of \( \frac{x^3 - x^2}{x - 1} \) as \( x \to \infty \)?
5. What is the limit \( \lim_{x \to -\infty} \frac{2x^2 - x + 4}{x^2 + x + 1} \)?

**Tip:** When working with limits at infinity, dividing all terms by the highest power of \(x\) can help simplify complex expressions.

Solve the limit: lim x→∞ ((x² - 3x + 2)/(x + 3) - 3x + 6)

Solve the limit problem where x tends to infinity: (x² - 3x + 2)/(x + 3) - 3x + 6. This problem covers concepts of limits at infinity, asymptotic behavior of rational functions, and polynomial growth rates, suitable for high school calculus students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation