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# What is the Upper Limit?

In calculus, a limit is the value that a function “approaches” as the input “approaches” some value. Basically there are lower and upper limits, where Upper limit is the largest possible quantity. For example, upper limit of a real number sequence can be written as

$$\begin{array}{l}\lim_{x \rightarrow \infty} sup \ x_n\end{array}$$
.