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The problem asks for the limit:

\[
\lim_{{x \to 4^+}} f(x)
\]

This means we are trying to find the limit of the function \( f(x) \) as \( x \) approaches 4 from the right side (positive side).

Looking at the graph:

1. The curve of \( f(x) \) as \( x \) approaches 4 from the right (values slightly greater than 4) follows an upward trajectory.
2. At \( x = 4 \), the graph is continuous, and the value of \( f(x) \) appears to be approximately \( 1 \).

Therefore, the right-hand limit as \( x \to 4^+ \) is:

\[
\lim_{{x \to 4^+}} f(x) = 1
\]

Would you like further clarification, or is there anything else you want to explore related to this topic?

Here are some related questions you might find useful:
1. How do we determine the left-hand limit as \( x \to 4^- \) from this graph?
2. What is the significance of a function being continuous at a point in relation to limits?
3. How can we calculate limits if the graph is not provided?
4. Can limits exist even if a function is undefined at the point being approached?
5. How are limits related to the concept of derivatives in calculus?

**Tip:** To determine limits graphically, always check the behavior of the graph on both sides of the point you're approaching, paying attention to any discontinuities.

Use the graph to find the indicated limit: Find \( \lim_{{x \to 4^+}} f(x) \).

This problem involves determining the right-hand limit of a function as x approaches 4 by analyzing its graphical behavior. The solution demonstrates how to visually estimate limits and addresses key concepts like right-hand limits and function continuity.

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