Math 3A Demonstration 5

\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]

Demonstration Instructions

For this Demonstration assignment, you will answer all the questions in the Questions section and record a video presenting your work. At the start of the video, you must clearly show your face and provide a verbal introduction stating your full name so your identity can be verified. While explaining your work for each question, you should display your work either by sharing your screen or by showing it on camera. Regardless of the format you choose, your full name, student ID number, and school email address must be clearly visible. Present your work as if your audience is your classmates and so that you are able to understand your work when you revisit it later. When presenting, you may either write out your work in real-time or prepare it ahead of time and present a static document.

Questions

1. Pick one question from the [Q] Chapter 5.3 Online Assignment to explain how you get the correct answer.
2. Explain why the following limit is of indeterminant form \[\lim_{x\to 9}\frac{\sqrt{x}-3}{x-9}.\] Then rewrite it in order to evaluate the limit using the limit laws.

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