1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques, L’ho?pital’s Rule, And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-Valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
2.1 A Preview Of Calculus 2.2 Finding Limits Graphically And Numerically 2.3 Evaluating Limits Analytically 2.4 Continuity And One-Sided Limits 2.5 Infinite Limits Chapter Questions expand_more
Problem 59E: Describing Notation Write a brief description of the meaning of the notation limxf(x)=25. Problem 61E: Limits That Fail to Exist Identify three types of behavior associated with the nonexistence of a... Problem 1E Problem 2E: 5-10, complete the table and use the result to estimate the limit. Use a graphing utility to graph... Problem 3E: 5-10, complete the table and use the result to estimate the limit. Use a graphing utility to graph... Problem 4E: 5-10, complete the table and use the result to estimate the limit. Use a graphing utility to graph... Problem 5E: 5-10, complete the table and use the result to estimate the limit. Use a graphing utility to graph... Problem 6E: 5-10, complete the table and use the result to estimate the limit. Use a graphing utility to graph... Problem 7E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 8E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 9E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 10E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 11E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 12E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 13E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 14E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 15E: Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use... Problem 16E: Limits That Fail to Exist In Exercises 21 and 22, create a table of values for the function and use... Problem 17E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 18E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 19E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 20E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 21E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 22E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 23E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 24E: Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If... Problem 25E: Graphical Reasoning In Exercises 31 and 32, use the graph of the function f to decide whether the... Problem 26E: Graphical Reasoning In Exercises 31 and 32, use the graph of the function f to decide whether the... Problem 27E: Limits of a Piecewise Function In Exercises 33 and 34, sketch the graph of f. Then identify the... Problem 28E: Limits of a Piecewise Function In Exercises 33 and 34, sketch the graph of f. Then identify the... Problem 29E: Sketching a Graph In Exercises 35 and 36, sketch a graph of a function f that satisfies the given... Problem 30E: Sketching a Graph In Exercises 35 and 36, sketch a graph of a function f that satisfies the given... Problem 31E: Finding a for a Given The graph of f(x)=x+1 is shown in the figure. Find such that if 0|x2|, then... Problem 32E: Finding a for a Given The graph of f(x)=1x1 is shown in the figure. Find such that if 0|x2|, then... Problem 33E: Finding a for a Given The graph of f(x)=21x is shown in the figure. Find such that if 0|x1|, then... Problem 34E: Finding a for a Given The graph of f(x) = x21 is shown in the figure. Find 8 such that if 0 |x2| ,... Problem 35E: Finding a for a Given In Exercises 41-46, Find the limit L. Then Find such that |f(x)L| whenever... Problem 36E: Finding a for a Given In Exercises 41-46, Find the limit L. Then Find such that |f(x)L| whenever... Problem 37E: Finding a for a Given In Exercises 41-46, Find the limit L. Then Find such that |f(x)L| whenever... Problem 38E: Finding a for a Given In Exercises 41-46, Find the limit L. Then Find such that |f(x)L| whenever... Problem 39E: Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to... Problem 40E: Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to... Problem 41E: Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to... Problem 42E: Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to... Problem 43E Problem 44E Problem 45E Problem 46E: Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to... Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 60E Problem 62E Problem 63E: Jewelry A jeweler resizes a ring so that its inner circumference is 6 centimeters. (a) What is the... Problem 64E: Sports A sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches. (a)... Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E: True or False? In Exercises 75-78, determine whether the statement is true or false. If it is false,... Problem 72E: True or False? In Exercises 75-78, determine whether the statement is true or false. If it is false,... Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E: Proof Prove that if the limit of f (x) as x approaches c exists, then the limit must be unique.... Problem 78E Problem 79E: Proof Prove that limxcf(x)=L is equivalent to limxc[f(x)L]=0 Problem 80E Problem 81E Problem 82E: A right circular cone has base of radius 1 and height 3. A cube is inscribed in the cone so that one... format_list_bulleted