Introduction of limit and continuity function
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Answer:
A function is a rule that assigns to each element xfrom a set known as the “domain” a single element yfrom a set known as the “range“. For example, the function y = x 2 + 2 assigns the value y = 3 to x = 1 , y = 6to x = 2 , and y = 11 to x = 3. Using this function, we can generate a set of ordered pairs of (x, y) including (1, 3),(2, 6), and (3, 11).
The idea behind limits is to analyze what the function is “approaching” when x “approaches” a specific value.
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In this section we consider properties and methods of calculations of limits for functions of one variable. Each topic begins with a brief introduction and theory accompanied by original problems and others modified from existing literature. Any problem or type of problems pertinent to the student’s understanding of the subject is included. This material is well suited for preparation before an exam.✔️✔️
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