Consider the [color=#0a971e]green function g[/color] in the applet below. [br][br]Note how it seems that the [color=#0a971e]graph of function g[/color] always stays in between functions[color=#b20ea8] f[/color] and [color=#1551b5]h[/color]. [br][br]Drag the [color=#0a971e][b]BIG GREEN POINT[/b][/color] as close as possible to the origin.[br]Observe the y-coordinates of the 3 points as you do. [br][br]Given this information, what would you say the limit as x ==> 0 of [color=#0a971e]g[/color](x) is, given this information? Does this limit even exist? (After all, we clearly know that [color=#0a971e]function g[/color] is NOT DEFINED at x = 0). If so, how could you algebraically prove it?[br][br](Feel free to zoom in if you'd like).