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The maximum amplitude of a sine wave is theoretically infinite. A sine wave is a smooth, periodic oscillation that extends indefinitely in both positive and negative directions. The amplitude of a sine wave represents the maximum displacement or height of the wave from its equilibrium position.

In mathematical terms, the amplitude of a sine wave is typically denoted as "A" and is defined as half the range between the maximum and minimum values of the wave. For example, if the maximum value of a sine wave is +1 and the minimum value is -1, the amplitude would be (1 - (-1))/2 = 1.

However, in practical applications and physical systems, the amplitude of a sine wave is often limited by factors such as the available energy, constraints of the system, or the capabilities of the waveform generator. In such cases, the maximum amplitude is finite and determined by these limitations.

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