Alexandra Macbeth - MAT 1 X Mail - Macbeth, Alexandra X Submission Folders - VIDE( X New Tab X G coursehe3ro - Google Sear X Homework Help - Q&A fron x + cocalc.com/projects/94e3c5ea-2186-4ae6-aada-d6131eb247b2/files/Assignments/Lab%201/Lab%201,%20Winter%20... Update : O Projects Alexandra Macbeth ... X + Help A Account Files + New Clog Q Find Settings Processes @ Lab 1, Winter 2022.ipynb X Lab 2.ipynb X 1 2 Chat Private File V Save C TimeTravel + O FF Format Console Print Contents Snippets Notebook V E [1] X File Edit View Insert Cell Kernel Help Kernel will start when you run code CPU Memory Trusted SageMath 9.3 & + Run Stop Tab Markdown V Halt Validate (b) Try graphing g(), with a between -1 and 1. What do you see? 57 (c) Zoom in by graphing a different range of x-values. 58 (d) What can you say about lim g()? Why? 59 In [ ]: its reduced when when g hits x. 60 61 Problem 8 Use the techniques you have learned in this lab so far to find the limit of each of the following functions, if it exists: cos (a) - 1 h(z) = as x - 0 2-2 In (ac) j(a) = x - 1 as x -+ 1 For each, illustrate your answer with both a sequence and a well-chosen plot. (Note you will need to do some thinking about how to modify the procedure for the sequence for j (a), as the limit is taken at x = 1 rather than x = 0.) 62 63 Summary of Lab Write a few sentences describing what this lab was all about, what you learned, etc. If you collaborated with other students from class, be sure to acknowledge your colleagues here as well