Limits and continuity a guide for teachers years 1112. Pdf produced by some word processors for output purposes only. While a fair number of the exercises involve only routine computations, many of the exercises and most of the problems are meant to illuminate points that in my experience students have found confusing. Limits and continuity practice problems with solutions. Hugh prather for problems 14, use the graph to test the function for continuity at the indicated value of x. In both of these supposed paradoxes, the problem lies in the idea of adding up. To understand continuity, it helps to see how a function can fail to be continuous. Limit and continuity definitions, formulas and examples. The conventional approach to calculus is founded on limits. Determine the continuity of functions on a closed interval. This is a set of exercises and problems for a more or less standard beginning calculus sequence. Use compound interest models to solve reallife problems. Use the greatest integer function to model and solve reallife problems. Here we are going to see some practice problems with solutions.
The notes were written by sigurd angenent, starting from an extensive collection of notes and problems compiled by joel robbin. Limits and continuity in calculus practice questions. Questions with answers on the continuity of functions with emphasis on rational and piecewise functions. Practice problems on limits and continuity eric malm.
Here is a set of practice problems to accompany the continuity section of the limits chapter of the notes for paul dawkins calculus i course at. My only sure reward is in my actions and not from them. Limits and continuity calculus 1 math khan academy. Graphical meaning and interpretation of continuity are also included. We wish to extend the notion of limits studied in calculus i. As noted in the hint for this problem when dealing with a rational expression in which both the numerator and. All of the important functions used in calculus and analysis are. Calculus i continuity practice problems pauls online math notes.
Find the limiting value of the average cost per unit as q. Math 221 1st semester calculus lecture notes version 2. Continuity the conventional approach to calculus is founded on limits. In this chapter, we will develop the concept of a limit by example. About limits and continuity practice problems with solutions limits and continuity practice problems with solutions.
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