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The given function is:

\[
h(x) = \frac{\sqrt{x}}{x^3 + 1}
\]

Would you like me to evaluate this function further, such as finding its derivative, analyzing its domain and range, or something else? 

Here are a few possible next steps:

1. Find the domain of the function \( h(x) \).
2. Find the derivative \( h'(x) \).
3. Analyze the behavior of \( h(x) \) as \( x \to \infty \) or \( x \to -\infty \).
4. Identify critical points and find local maxima/minima.
5. Integrate \( h(x) \) if needed.

**Tip:** For fractional functions, it's essential to first analyze the denominator to determine points where the function might be undefined.

Analyze the function h(x) = sqrt(x) / (x^3 + 1)

Explore the function h(x) = sqrt(x) / (x^3 + 1), focusing on its behavior, domain, and range. This detailed analysis includes limit behavior as x approaches infinity and the function's continuity, making it suitable for university-level students.

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