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Set surfaces (wrench icon) to TRANSLUCENT.
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To examine the limit of z=f(x,y) along a path in the xy-plane, LIFT the path, staying parallel to the z-axis, and LIE the path on the surface y=f(x,y).
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When y=mx, the z=f(x,y) is:
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Approaching (0,0) along the (orange) path y=x (so y=mx with m=1).
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Approaching (0,0) along the (purple) path y= -x (so y=mx with m= -1).
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Approaching (0,0) along the (green) path y=0 (so y=mx with m=0)
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Approaching (0,0) along the (pink) path y=mx for m between -1 and 1.
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Approaching (0,0) along the (teal) path y=5x^3 (a cubic)
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All Done.
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Ignore me. For colors and dotted lines.
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