The expression you've provided is a limit problem. It represents:

\[
\lim_{{x \to -1}} f(x) = 3
\]

This notation means that as \( x \) approaches \(-1\), the function \( f(x) \) approaches the value 3. In other words, the value of \( f(x) \) gets arbitrarily close to 3 as \( x \) gets closer and closer to \(-1\).

### Key points:
- \( \lim \) stands for the "limit."
- \( x \to -1 \) indicates that \( x \) is approaching \(-1\).
- The limit is equal to 3, which means the function approaches 3 as \( x \) gets closer to \(-1\).

Would you like more details on the steps for evaluating limits or examples of how they work?

### Related Questions:
1. What happens if the limit does not exist?
2. How do we calculate limits for more complex functions?
3. What is the difference between a one-sided and two-sided limit?
4. How do you handle limits approaching infinity?
5. What are some common limit rules used for calculations?

**Tip:** When evaluating limits, always check if direct substitution can be applied. If it leads to an indeterminate form like \( \frac{0}{0} \), further steps such as factoring or using L'Hopital's Rule may be needed.

Explore how to evaluate the limit of a function as x approaches -1, where the limit is equal to 3. This problem introduces fundamental concepts in limits and continuity, suitable for Grades 11-12 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