PPT-1.3 Evaluating Limits Analytically

Objective Evaluate a limit using properties of limits Miss Battaglia ABBC Calculus Properties of Limits Remember that the limit of fx as x approaches c does not depend on the value of f at xc But it might happen. adding it all up. Integral Calculus. 1. Goal. Compute the . signed. area . under some portion of an arbitrary curve. Integral Calculus. 2. Divide and Conquer. Integral Calculus. 3. Animatedly. Integral Calculus. Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! We already know from the previous section that and , where b is Presented by . Lin McMullin. National Math and Science Initiative . Continuity. What happens at . x. = 2? . What is . f. (2)?. What happens . near. . x . = 2? . f. (. x. ) is . near . -. Greg Kelly, Hanford High School, Richland, Washington. Photo by Vickie Kelly, 2007. Grand Teton National Park, Wyoming. Suppose you drive 200 miles, and it takes you 4 hours.. Then your average speed is:. Limit Definition. As x becomes sufficiently close to (but not equal to) a, the value of f(x) becomes close to L. Note: x does not equal a so we don’t consider the actual value of f(x) at a, just what it is approaching. Vertical Asymptotes (VA). If . then . x=a is a VA of f(x. ). To find VA algebraically – set denominator = 0. Example 1 – Find VA. Finding limits on either side of a VA. Overview. What is science?. Science vs. pseudoscience. Scientific . method and . critique. How do we generate research ideas?. Ideas from theory. Ideas from other sources. How do we evaluate research ideas?. Daily. maximum . per day.. Possession. maximum . in your possession.. Season. limited . number (usually 1) per season.. Typically referred to as a quota.. Bag/Creel Limits. 1. Bag / Creel Limits. Bag/Creel Limits. jgorfida@njdhs.com. Main Office: (214) 965-9900. Direct Dial: (214) 665-3323 . TEXAS MUNICIPAL COURTS EDUCATION CENTER . 2012 Municipal Traffic Safety Initiatives. AUTHORITY. Chapter 545 of the Texas Transportation Code. According to our . Everyone’s an Author . textbook, “When you analyze something, you break it down into its component parts and think about those parts methodically in order to understand it in some way” (137). . RESEARCH WRITING SERIES. . 5 Writing Analytically . . . Along with critique and argument, understanding the processes and effective communication of analysis are crucial to successful research writing.. ves. By: Sameer, Snigdha, Aditya. Limits. Recall that…. A limit is when a function gets super close to a number from both sides of x, but the function never reaches that number…. It’s predicting a number between two neighboring points.. As of now we have done limits as they approach to certain numbers. . For limits to certain numbers it could be an easy problem where you just _____ ___, or you could have a ______ messing it up so you need to ________ and cancel. Or lastly you might have fallen on a ___________ ___________ so you need to plug into both side of the limit.. 1Graphical LimitsLet be a function defined on the interval -611 whose graph is given as The limits are defined as the value that the function approaches as it goes to an x value Using this definition