Show that \[\lim_{h\to 0}\,\frac{|h|}{h}\] does not exist.

Problem: 

Show that \[\lim_{h\to 0}\,\frac{|h|}{h}\] does not exist.

Answer: 

It is true that \[\lim_{h\to 0}\,\frac{|h|}{h}\] does not exist.