Presentation on theme: "MAT 1221 Survey of Calculus Section 1.5 Limits"— Presentation transcript:
MAT 1221 Survey of Calculus Section 1.5 Limits http://myhome.spu.edu/lauw
Seating - Group Activities You are going to pair up with a partner to work on classwork problems. No communications between any groups. Any two groups should have at least one empty seat between them.
Quiz You have 10 min. for this quiz. If you are done early, please wait and do not make noises.
Reminder WebAssign Homework 1.5 Quiz 01 on Thursday Read the next section on the schedule (From now on, you always read for the next class, I will not remind you again)
What do we care? How fast “things” are going The velocity of a particle The “speed” of formation of chemicals The rate of change of a population
Left-Hand Limit** (Formal) We write and say “the left-hand limit of f(x), as x approaches a, equals L” if we can make the values of f(x) arbitrarily close to L (as close as we like) by taking x to be sufficiently close to a and x less than a.
Right-Hand Limit x y 2 4 The right-hand limit is 4 when x approaches 2 Notation: Independent of f(2) y=f(x)
Right-Hand Limit** (Formal) We write and say “the right-hand limit of f(x), as x approaches a, equals L” if we can make the values of f(x) arbitrarily close to L (as close as we like) by taking x to be sufficiently close to a and x greater than a.
Expectations You should have the “lim” notations until you can plug in the number. You should have equal signs. Do not skip steps. When ask of, you need to start your solutions with or
Classwork Works with one partner and one partner ONLY. Use pencils, please. Caro and I will give you hints if you need help. As usual, you are supposed to know your algebra. You can go after One of us check BOTH of your work.