What is Continuity?
A function “f” is said to be continuous in a closed interval [a, b] if
- f is continuous in (a, b)
- limx→a+ f(x) = f(a)
- limx→b- f(x) = f(b)
Assume, “f” is a real function on a subset of real numbers and “c” is a point in the domain of f. Then f is continuous at c if,
limx→c f(x) = f(c)
Real Life Applications of Continuity
Continuity is one of the basic properties of functions that help us to predict the flow of functions without abrupt changes. In mathematics, a function is said to be continuous in a given interval if there is no break in the graph of the function in the entire interval range.
In this article, we take a look at continuity in real-life situations and its correct use in difficult situations.
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