學微積分憑感覺2: 由函數的宏觀觀點談極限

此講主要透過函數圖形來了解方程式的宏觀特性，了解函數的描述用語（定義域與值域），並介紹極限 (lim) 符號在描述函數圖形上的使用。





以下條列此單元的相關 Khan 習題以及 習題的影片清單：

• [Khan] Domain and range from the graph
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_and_range_0.5
• [Khan] Domain of a function
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_of_a_function
• [Khan] Range of a function
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/range_of_a_function
• [Khan] Positive and negative parts of functions
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/positive_and_negative_parts_of_functions
• [Khan] Even and odd functions
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/even_and_odd_functions
• [Khan] Recognizing features of functions 2
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/recog-features-func-2
• [Khan] Interpreting creatures of functions 2
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/interpret-features-func-2
• [Khan] Comparing features of functions 2
• https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/comparing-features-of-functions-2
• [Khan] Graphs of Polynomials
• https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials
• [YouTube] http://www.youtube.com/watch?v=wd2LFlWyhgk&feature=share&list=PLXH05kw-i_5K52-8LtbQHZDYcJSKuCDMo
• [YouTube] http://www.youtube.com/watch?v=8wCzpf1XUXY&list=PLXH05kw-i_5K52-8LtbQHZDYcJSKuCDMo&feature=share&index=1
• [Khan]  Graphs of Rational Functions
• https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/e/graphs-of-rational-functions
• [YouTube] http://youtu.be/yG8LJjQKLJ0
• [YouTube] http://youtu.be/xzdtc4fKGo4
• [Khan] Limits at infinity where f(x) is unbounded 
• https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/e/limits-at-infinity-where-f-x--is-unbounded
• [YouTube]http://youtu.be/pzt-qyaHjro
• [YouTube]http://youtu.be/wpFoTXyw9BI
• [Khan] Limits at infinity where x is unbounded 
• https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/e/limits-at-infinity-where-x-is-unbounded
• [Khan] One-sided limits from graphs
• https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/e/one-sided-limits-from-graphs
• [Khan] Two-sided limits from graphs
• https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/e/two-sided-limits-from-graphs
• [Khan] Finding Limits Numerically
• https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/e/finding-limits-numerically
• [YouTube] https://www.youtube.com/watch?v=miB2CoUFy5c&list=PLXH05kw-i_5LVnQCn8O_2QO6o3hsG5qC3&index=2
• [YouTube] http://www.youtube.com/watch?v=jtC3Rh2f_ao&list=PLXH05kw-i_5LVnQCn8O_2QO6o3hsG5qC3&feature=share&index=1
• [Khan] Continuity
• https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/e/continuity
• [Khan] Two-sided limits using algebra
• https://www.khanacademy.org/math/differential-calculus/limits_topic/algebraic-limits/e/two-sided-limits-using-algebra
• [Khan] Two-side limits using advanced algebra
• https://www.khanacademy.org/math/differential-calculus/limits_topic/algebraic-limits/e/limits_2
• [Khan] Squeeze Theorem
• https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/e/squeeze-theorem