Def: Limit ***********
Let f(x) be defined on an open interval c, except possibly at c itself if f(x) gets arbitrarily close to L for all X sufficiently close to C, we say that f(x) approaches the limit as X approaches C, and write x➡c limf(X) = L, L is an real number
In mathematics, the limit is the value that a function or sequence approaches as the input or index approaches a certain value or infinity. In other words, the limit of a function or sequence can be thought of as the value to which the function or sequence converges as its input or index approaches a specific value or infinity. We use limits in calculus to study the behavior of functions near certain points, and they can help us to determine the continuity, differentiability, and other important properties of a function. Formally, we write the limit of a function f(x) as x approaches a as:
lim x -> a f(x) = L
where L is the limit of f(x) as x approaches a.
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