Consider for 1) Show that the sequence is bounded is always compact. 2) For which values is connected?
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consider the intersection of the graphs of y=f(x) and y=x, which is a parabola and a line.
I managed to show 1) myself, but what do I get from this intersection?
Originally Posted by EinStone Consider for 1) Show that the sequence is bounded is always compact. 2) For which values is connected? One thing that you get from the intersection of and is that for that value of x, call it , , in fact The vertical line, is the symmetry axis of the parabola , so . Another thing to consider is that the vertex of this parabola is at . What happens at if .
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