CK-12-Calculus

1.5. Finding Limits http://www.ck12.org Multimedia Links For another look at the definition of a limit, the series of videos at ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity a. limx→ 2 f(x) b. limx→ 0 f(x) c. limx→ 4 f(x) d. limx→ 50 f(x ...

1.6. Evaluating Limits http://www.ck12.org 1.6 Evaluating Limits Learning Objectives A student will be able to: Find the limit ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Hence limx→af(x) =f(a). This will also be true for some of our ...

1.6. Evaluating Limits http://www.ck12.org We saw that the function did not have to be defined at a particular value for the lim ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity While we can use the Properties to find limits of composite fun ...

1.6. Evaluating Limits http://www.ck12.org Lesson Summary We learned to find the limit of basic functions. We learned to find t ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity MEDIA Click image to the left for use the URL below. URL: http: ...

1.7. Continuity http://www.ck12.org 1.7 Continuity Learning Objectives A student will be able to: Learn to examine continuity o ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity The seeming contradiction is due to the fact that our original ...

1.7. Continuity http://www.ck12.org Definition: The functionf(x)iscontinuous atx=aif the following conditions all hold: 1.ais in ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Since the domain off(x) =√xisx≥0, we see that that limx→ 0 √xdo ...

1.7. Continuity http://www.ck12.org We see that limx→ 0 +|xx|=1 and also that limx→ 0 −|xx|=−1. Properties of Continuous Functio ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity We will conclude this lesson with a theorem that will enable us ...

1.7. Continuity http://www.ck12.org Of course we could zoom in on the graph to see that the lowest point on the graph lies withi ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Multimedia Links For a presentation of continuity using limits( ...

1.7. Continuity http://www.ck12.org Prove the Intermediate Value Theorem: If a function is continuous on a closed interval[a,b] ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity 1.8 Infinite Limits Learning Objectives A student will be able ...

1.8. Infinite Limits http://www.ck12.org Atx=1, we have the situation where the graph grows without bound in both a positive and ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Since our original function was roughly of the form f(x) =^1 x, ...