MHB Angle at Y-axis Crossing of y=sin(1/x) Graph

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The graph of y=sin(1/x) does not cross the y-axis due to its discontinuity at x = 0. As a result, the angle of intersection at this point is undefined. The function oscillates infinitely as it approaches the y-axis, preventing a clear crossing. Consequently, there is no angle to measure at the y-axis crossing for this function. Understanding this behavior is crucial for analyzing the graph's properties.
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at which angle does the graph y=sin(1/x) cross the y-axis??
sin(1:x).png
 
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Value undefined: the function is discontinuous at x = 0, which means, the graph doesn't cross the y-axis.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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