The curve paradox

In the above figure, you can see many bell-shaped curves. You can continue to generate the curves up to infinity. If you do so, you notice that the peak of the curve will move to the right, and the left hand side of the peak will become flatter and flatter. When the abscissa of the peak of the curve reach infinity, the left hand side of the curve will become horizontal. Now if you were asked to draw the curve which has a peak at infinity, how would you draw it? Since you cannot locate infinity, wouldn’t your curve be a horizontal line?


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