cos(x), när x -> ∞
When x approaches infinity (x -> ∞), the value of the cosine function (cos) fluctuates between -1 and 1 indefinitely but does not approach a specific value
When x approaches infinity (x -> ∞), the value of the cosine function (cos) fluctuates between -1 and 1 indefinitely but does not approach a specific value.
To better understand this, let’s look at the unit circle. The unit circle is a circle with a radius of 1, centered at the origin (0, 0) in a Cartesian coordinate system. At any point on the unit circle, the x-coordinate represents the cosine value.
As x increases in the positive direction towards infinity, the angle formed in the unit circle also increases. With each increase in the angle, the x-coordinate (cosine value) oscillates between -1 and 1. This oscillating behavior continues indefinitely as x approaches infinity, without converging to a particular value.
Therefore, we can conclude that cos(x), when x approaches infinity, does not have a specific value but fluctuates between -1 and 1 indefinitely.
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