Graph the equation f ( x ) = sin ( x ) in the viewing rectangle [ 1 , 1 ] by [ 1 , 1 ] . Then zoom in toward the origin several times. Comment on the behavior of this function. No matter how many times we zoom in toward the origin, the graphs of f ( x ) = sin ( x ) appear to consist of almost-vertical lines. This indicates that f ( x ) has a vertical asymptote at x = 0 . No matter how many times we zoom in toward the origin, the graphs of f ( x ) = sin ( x ) appear to consist of almost-horizontal lines. This indicates that f ( x ) has a horizontal asymptote at y = 0 . No matter how many times we zoom in toward the origin, the graphs of f ( x ) = sin ( x ) appear to consist of almost-vertical lines. This indicates more and more frequent oscillations as x 0 . No matter how many times we zoom in toward the origin, the graphs of f ( x ) = sin ( x ) appear to consist of almost-horizontal lines. This indicates that f ( x ) 0 as x 0 . No matter how many times we zoom in toward the origin, the graphs of f ( x ) = sin ( x ) appear to consist of almost-vertical lines. This indicates that f ( x ) 0 as x 0