Problems
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- Prove that \[\lim_{h\to 0}\,\frac{h^n}{h}=0\]where $n$ is a positive integer greater than $1$.
- Determine \[ \lim_{x\to -2}\frac{x^2-4}{x^2-4}. \]
- Prove that \[\lim_{h\to 0}\,\frac{h^3}{h}=0.\]
- Show that \[\lim_{h\to 0}\,\frac{|h|}{h}\] does not exist.
- Prove that \[\lim_{h\to 0}\,\frac{h^2}{h}=0.\]
- Prove that \[\lim_{h\to 0}\,\frac{h}{h}=1.\]
- Prove that \[\lim_{h\to 0}\,\frac{0}{h}=0.\]
