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Functions and Limits

Four Ways to Represent a Function

계산기의 잘못된 결과(the False Values of The Calculator ) : http://me2.do/GzHKg5dj excel : http://me2.do/xy8SlUOf

접선(Tangent line) : http://me2.do/5Ml4uC6s

$\displaystyle\lim_{x \rightarrow a} f(x)=l$ : http://me2.do/54cptpac

극한Definition of limit) : http://me2.do/Gg6K6ywd

 

극한의 법칙들(Limit Laws)

 

$[\forall \epsilon>0 , a+\epsilon >0 ]\Leftrightarrow a\ge 0$ : http://me2.do/xDiZ3FjV

$[f(x) \le g(x) (0 < |x-a| < \delta_0) \ , \ \displaystyle \lim_{x \rightarrow a} f(x) =L \ , \ \displaystyle \lim_{x \rightarrow a} g(x) =M] \Rightarrow L\le M$ : http://me2.do/GoJRjDnc

압착정리(The Squeeze Theorem) : http://me2.do/5DiYOGdR

$\text{Definition of One-Sided Limits} \ \ \displaystyle \lim_{x \rightarrow a^-} f(x) =L, \displaystyle \lim_{x \rightarrow a^+} f(x) =L$ : http://me2.do/GWPBP8Nv

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