https://file.aiquickdraw.com/mathbot/file/1726282524381x7n2eabo.jpg

Based on the image you provided, we are asked to determine:

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

The graph of \( f(x) \) appears to be continuous as \( x \) approaches 3. From the graph, we can observe the behavior of \( f(x) \) near \( x = 3 \). The point on the curve at \( x = 3 \) shows that the value of \( f(x) \) is approximately **0.45**.

Thus, the correct value of \( \lim_{{x \to 3}} f(x) \) is 0.45, making option **a** the correct answer, not option b ("3").

Would you like further details or have any questions?

Here are five related questions to deepen understanding:
1. How do we formally define the concept of a limit?
2. What are the key conditions for a function to have a limit at a point?
3. How can one estimate limits when the function is given graphically?
4. What is the difference between left-hand and right-hand limits?
5. How do we handle cases where the limit does not exist?

**Tip:** When finding limits graphically, always observe how the function behaves as it approaches the value from both the left and right sides of the point.

Dari gambar di atas, tentukan lim(x -> 3) f(x)

Analyze the limit of the function f(x) as x approaches 3 using a graphical interpretation. The correct answer is 0.45, derived by observing the behavior of the function around x=3. Suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation