Right Answer – Wrong Question (9-4-2013) Is a function continuous even if it has a vertical asymptote?Īsymptotes (8-15-2012) The graphical manifestation of certain limitsįun with Continuity (8-17-2012) the Diriclet functionįar Out! (10-31-2012) When the graph and dominance “disagree” From the Good Question seriesĭeltas and Epsilons (8-3-2012) Why this topic is not tested on the AP Calculus Exams.ĭominance (8-8-2012) See limits at infinityĭetermining the Indeterminate (12-6-2015) Investigating an indeterminate form from a differential equation. Here is a set of practice problems to accompany the Computing Limits section of the Limits chapter of the notes for Paul Dawkins Calculus I course at Lamar. Limits describe the behavior of a function as we approach a certain input value, regardless of the functions actual value there. The modern definition of limit was part of Weierstrass’ definition of continuity.Ĭontinuity (8-21-2013) The definition of continuity.Ĭontinuous Fun (10-13-2015) A fuller discussion of continuity and its definition On the other hand, the definition of continuity requires knowing about limits. This is the first of three major topics that we will be covering in this course. The common misconception about limits is that students treat the value of a limit of a function as the value of a function at a. The topic that we will be examining in this chapter is that of Limits. Historically and practically, continuity should come before limits. GeoGebra as a Means for Understanding Limit Concepts Puspita Sari Jakarta State University, Indonesia Limit is a major concept in calculus that underpins the concepts of derivatives and integrals. This study examines how college calculus students develop and accommodate their conceptual understanding of the limit of a sequence. CONTINUITY To help understand limits it is a good idea to look at functions that are not continuous. Students have had much practice using limits to support continuity of the function f(x) and can easily understand that a discontinuity prevents the existence of.
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