Section 2.3 Evaluating Limits Algebraically

Jul 30, 2012

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Section 2.3 Evaluating Limits Algebraically

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1. Section 2.3 Evaluating Limits Algebraically

Evaluating Limits Analytically

Evaluating Limits Analytically. Today you will use the properties of limits to evaluate limits algebraically. You will also evaluate limits involving infinity algebraically and conceptually.

947 views • 10 slides

Section 2.3

Section 2.3. Differentiation Formulas. DIFFERENTIATION FORMULAS FOR BASIC FUNCTIONS. 1. The derivative of a constant function, f ( x ) = c. 2. The derivative of the identity function, f ( x ) = x. THE POWER RULE.

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Section 2.3

Section 2.3. Measures of Central Tendency. Section 2.3 Objectives. Determine the mean, median, and mode of a population and of a sample Determine the weighted mean of a data set and the mean of a frequency distribution

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Section 2.3

Section 2.3. Additional Displays for Quantitative Data. Relative Frequency H istogram Bar Graph. Frequency Polygons Just a point at the top of the bar. Relative Frequency Ogive Just a point at the top of the bar. Time-Series Graphs.

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Section 1.3 – Evaluating Limits Analytically

Section 1.3 – Evaluating Limits Analytically. Direct Substitution. One of the easiest and most useful ways to evaluate a limit analytically is direct substitution ( substitution and evaluation):

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Section 2.3

Section 2.3. Structure of Geometry. Definitions. Postulate(axiom) - is a statement accepted without proof Theorem -is a statement that is proven by using defs , postulates, or previously proven theorems. Postulates:.

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Evaluating Limits

Evaluating Limits. White board practice. I DO:. YOU DO:. I DO:. YOU DO:. Ticket Out.

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Section 2.3 Evaluating Limits Algebraically

Section 2.3 Evaluating Limits Algebraically. Properties of Limits. ( a , a ). y = x. ( a , c ). . y = c. . . . | a. | a. where n is a positive integer. Properties of Limits. Read page 79 – 82 for more p roperties We can use this property whenever possible. .

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1.03 Evaluating Limits Algebraically

1.03 Evaluating Limits Algebraically. Graphically ( √ ) Algebraically (starting this lesson) Using the Sandwich Theorem (later). Evaluating Limits. Direct substitution (easy!) Expand, simplify  substitution Factor, simplify by reducing  substitution

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Section 2.3

Point-to-Point Links: Framing. Section 2.3. Framing. Demarcates (Separates) units of transfer Goal Enable nodes to exchange blocks of data Challenge How can we determine exactly what set of bits constitute a frame? How do we determine the beginning and end of a frame?. Why Framing?.

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Section 2.3

Section 2.3. Day 1. Product Rule. The product of two differentiable functions f and g is itself differentiable. Example 1. Find the derivative of h ( x ) = (3 x – 2 x 2 )(5 + 4 x ) using the Product Rule. Let f ( x ) = 3 x – 2 x 2 and g ( x ) = 5 + 4 x. Example 2.

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Section 2.3

Math in Our World. Section 2.3. Using Venn Diagrams to Study Set Operations. Learning Objectives. Illustrate set statements involving two sets with Venn diagrams. Illustrate set statements involving three sets with Venn diagrams. Use De Morgan’s laws.

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Section 1.3: Evaluating Limits Analytically

Section 1.3: Evaluating Limits Analytically. Example. Let and . Find:. Direct Substitution. One of the easiest and most useful ways to evaluate a limit analytically is direct substitution ( substitution and evaluation):

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Section 2.3

Section 2.3. Introduction to Problem Solving. Page 111. Steps for Solving a Problem.

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Section 2.3

Section 2.3. Polygons, Circles, and Solids. Common Polygons. Triangles. Quadrilaterals. Sum of Interior angles of Regular Polygon. Interior sum of angles of regular polygon is (n-2)180, n is the number of sides What is the measure of the interior angles of a STOP sign ? 1080 degree.

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Section 2.3

Section 2.3. Deductive Reasoning. Inductive vs. deductive Reasoning. Do you remember what Inductive Reasoning is? Reasoning based on patterns you observe Deductive Reasoning (logical reasoning) Process of reasoning logically from given statements to a conclusion. In other words…

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Section 2.3

Section 2.3. Lines. Find slope given two points. m = rise run. Find the slope between (4,-5) and (-6,-1). -1 – -5 -6 – 4 m = -1 + 5 -6 – 4 m = 4 -10 m = -2 5. m =. Forms of writing the equation of a line. Slope-intercept form of a line

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Section 2.3

Section 2.3. Evaluating Limits Analytically. Theorems Involving Limits. Theorems Involving Limits. Theorems Involving Limits (cont.). Theorems Involving Limits. Example 1. Find. Example 2. Find. Example 3. Find. Example 4. Find. Other Theorems Involving Limits.

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Section 2.3

Section 2.3. Measures of Central Tendency. Section 2.3 Objectives. Determine the mean, median, and mode of a population and of a sample (and which to use when) Describe the shape of a distribution as symmetric, uniform, or skewed and compare the mean and median for each.

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Section 2.3

Section 2.3. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Theorem. If the number of equations is greater than or equal to the number of variables then the system has no solution, one solution, or infinitely many solutions.

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Limits Algebraically

Limits Algebraically. Objective. To evaluate limits using algebra. TS: Explicitly assess information and draw conclusions. Video Clip from Calculus-Help.com. How do you find a limit?. How do you find (evaluate) a limit?. Key Point : Evaluate means you should give a numerical answer.

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