when do we say a limit does not exist
Limit of a function respectively. If these limits exist at p and are equal there, then this can be referred to as the limit of f(x) at p. If the one-sided limits exist at p, but are unequal, there is no limit at p (the limit at p does not exist). If either one-sided limit does not exist at p, the limit at p does not exist.
Limited government In political philosophy, limited government is where the government is empowered by law from a starting point of having no power, or where governmental power is restricted by law, usually in a written constitution. It is a key concept in the history of liberalism. The United States Constitution presents an example of the federal government not possessing any power except what is delegated to it by the Constitution - with the Tenth Amendment to the United States Constitution specifically stating that powers not specifically delegated to the federal government is reserved for the people and the states. The Magna Carta and the United States Constitution also represents important milestones in the limiting of governmental power. The earliest use of the term limited government dates back to King James VI and I in the late 16th century.[1] Limited government put into practice often involves the protection of individual liberty from government intrusion.[2]