함수와 극한(Functions and Limits)

• 함수를 표현하는 4가지 방법(Four Ways to Represent a Function)[고유주소]

• 계산기의 잘못된 결과(The False Values of The Calculator)

  [PDF] [Excel] [영상(YouTube)]

• 접선(Tangent line)

  [PDF] [영상(YouTube)] [Geogebra Tube]

• 극한(Definition of limit)

  [PDF] [영상(YouTube)]

• 극한의 법칙들(Limit Laws)[고유주소]

• $[\forall \epsilon<0 , a+\epsilon< 0 ]\Leftrightarrow a\ge 0$

  [PDF] [영상(YouTube)]

• $\left[f(x) \le g(x) (0 < |x-a| < \delta_0) \ , \ \displaystyle \lim_{x \rightarrow a} f(x) =L \ , \ \displaystyle \lim_{x \rightarrow a} g(x) =M\right]\Rightarrow L\le M$

  [PDF] [영상(YouTube)]

• 압착정리(The Squeeze Theorem)

  [PDF] [영상(YouTube)]

• 좌극학, 우극한(Definiton of One-Sided Limits)

  [PDF] [영상(YouTube)]

• $\text{Definition} \ \ $ $\displaystyle \lim_{x \rightarrow a} f(x) =\infty$ , $\displaystyle \lim_{x \rightarrow a} f(x) =-\infty$