?By comparing Definitions 2,3 , and 4 , prove Theorem 2.3 .1 : \(\lim _{x \rightarrow a}

Chapter 2, Problem 40

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By comparing Definitions 2,3 , and 4 , prove Theorem 2.3 .1 : \(\lim _{x \rightarrow a} f(x)-L \quad\) if and only if \(\quad \lim _{x \rightarrow a^{-}} f(x)-L-\lim _{x \rightarrow a^{+}} f(x)\).

Equation Transcription:

 

Text Transcription:

lim_x right arrow a f(x)=L  

lim_x right arrow a^- f(x)=L =lim_x right arrow a^+f(x)

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