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There are many techniques for finding limits that apply in various conditions. Saying a function f is continuous when x=c the same as that function's twoside limit at exists and equal to f(c). This video takes a look at the definition of continuity point.
Math 251 spring 15. This calculus video tutorial provides multiple choice practice problems on limits and continuity. When finding a limit of piecewise defined function, we should make sure are using the appropriate definition depending on where val.
One typical ap free response question that deals with point is discussed.