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### Day 06 - One-sided Limits and Continuity - 01.11.16

 Update Unit 1 Test on 1/22 21 / 203none of the abovedoes not exist11 / 402none of the abovedoes not exist3108 / 70none of the above01does not exist2none of the aboveReview1.A. Limits (video 1) (video 2)How are limits found numerically and graphically? (video) (checkpoints)1.B. Finding Limits AlgebraicallyHow are limits found algebraically? (checkpoints)Nonexistent LimitsHow can limits fail to exist? (video)Lesson1.C. One-sided Limits (video) & Continuity (video)ChallengeFind a that makes the following function continuous.Find the following limit: $\lim_{x\to 1^-}f(x)$GraphCheckpoints1.D. Infinite Limits (video)1.E. Limits at Infinity (video) Posted on the board at the end of the block.Homework1.D. Infinite Limits (video)1.E. Limits at Infinity (video) Help Request List Standard(s) APC.2Define and apply the properties of limits of functions.Limits will be evaluated graphically and algebraically.Includes:​limits of a constant​limits of a sum, product, and quotient​one-sided limits​limits at infinity, infinite limits, and non-existent limitsAPC.3Use limits to define continuity and determine where a function is continuous or discontinuous.Includes:​continuity in terms of limitscontinuity at a point and over a closed interval​application of the Intermediate Value Theorem and the Extreme Value Theorem​geometric understanding and interpretation of continuity and discontinuity