# What are the limitations of the chaos theory?

Chaos is not a physical phenomenon.

Originally derived from classical equations describing fluid flow, chaos theory showed sensitivity to initial conditions that would imply that two initially close trajectories of the fluid (in phase space, that is, position momentum) would grow apart exponentially and result in widely different final states, making fluid flow unpredictable. Fortunately, large-atom experiments have shown us that chaos is not a physical phenomenon and that chaos is not part of quantum mechanics.

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The theory of chaos is subject to certain limitations, such as its sensitivity to initial conditions, its inability to predict long-term behavior, and its difficulty in recognizing patterns within chaotic systems.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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