Today in AP Calc. we started with the problem of the day about the open box, and writing the equation to find the volume of it. Following this we completed the Homework Check 2.3 which involved finding delta values along with finding the limits graphically. We then took some notes on finding the limit algebraically using either Substitution, where you can just take the x-value and plug it into the equation, Factoring, where you use synthetic division to factor the top of the function so that there is a similar term in the numerator and denominator that will cancel out. You then do substitution to figure out the limit. The third way is using Conjugate Method, which is only used if you cannot factor, which in most cases is when there is a square root. With this you take the conjugate of the numerator and using the magic box, get it so that there is a factor in both the numerator and denominator that will cancel out. You can then use substitution to find the limit. We were then given the Limit Worksheet to begin our homework.
TONIGHT'S HOMEWORK: Finish Graphical Approach to Limits packet, #1-4 on the Evaluation Limits worksheet, complete the page 1 notes for 2.4, watch the two videos posted on the website, and finish HW 2.3 - p. 43 Q1-Q10 #10, 11, and 17
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