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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 $\lim_{h\to 0}\,\frac{0}{h}=0.$

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Lesson Specific Problems

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 $\lim_{h\to 0}\,\frac{h^2}{h}=0.$

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