Select Page

I​‌‍‍‍‌‍‍‍‌‍‍‍‌‌‌‌‌‌‍‍​NTRODUCTION The concept of a limit is important in the study of calculus. The concept helps us understand how functions vary and is a building block for future topics in calculus. One important application of a limit is the concept of continuity. REQUIREMENTS Your submission must be your original work. No more than a combined total of 30% of the submission and no more than a 10% match to any one individual source can be directly quoted or closely paraphrased from sources, even if cited correctly. An originality report is provided when you submit your task that can be used as a guide. You must use the rubric to direct the creation of your submission because it provides detailed criteria that will be used to evaluate your work. Each requirement below may be evaluated by more than one rubric aspect. The rubric aspect titles may contain hyperlinks to relevant portions of the course. Submission(s) using mathematical notation must be accepted by Unicheck or your su​‌‍‍‍‌‍‍‍‌‍‍‍‌‌‌‌‌‌‍‍​bmission may not be able to be evaluated and could be returned to you. Examples of resources/programs that can be used to create mathematical notations accepted by Unicheck can be found here: https://cm.wgu.edu/t5/Math-Center-Knowledge-Base/Task-Tips-for-Mathematical-Notation/ta-p/27888 A. Given f(x) = x – 2×2 – 3x + 2,findlimx?1 x – 2×2 – 3x + 2 or explain why the limit does not exist. B. Given f(x) = x – 2×2 – 3x + 2,findlimx?2x – 2×2 – 3x + 2 or explain why the limit does not exist. C. Apply the definition of continuity to identify any points of discontinuity in the function f(x) above, showing all work. 1. Explain the effect of the discontinuities identified in part C on the domain and range of the function f(x) above. D. Acknowledge sources, using APA-formatted in-text citations and references, for content that is quoted, paraphrased, or summarized. E. Demonstrate professional communication in the content and presentation of your submission​‌‍‍‍‌‍‍‍‌‍‍‍‌‌‌‌‌‌‍‍​.