[AP-Calculus] Proof of \(\lim\limits_{x \rightarrow a} f(x)=L \Longleftrightarrow \lim\limits_{h \rightarrow 0}f(a+h)=L\) [더플러스수학]


[AP-Calculus] Proof of \(\lim\limits_{x \rightarrow a} f(x)=L \Longleftrightarrow \lim\limits_{h \rightarrow 0}f(a+h)=L\) [더플러스수학]

Prove that \(\displaystyle \lim\limits_{x \rightarrow a} f(x) =L \) if and only if \(\displaystyle \lim\limits_{h \rightarrow }f(a+h)=L\). (Use the precise definition of limits with \(\displaystyle \epsilon-\delta\)) -극한에 대한 엄밀한 정의인 \(\displaystyle \epsilon-\delta\)논법을 이용하여 다음이 서로 동치-필요충분조건임을 보이시오. \(\displaystyle \lim\limits_{x \rightarrow a} f(x) =L \) \(\displaystyle \Longleftrightarrow\) \(\..


원문링크 : [AP-Calculus] Proof of \(\lim\limits_{x \rightarrow a} f(x)=L \Longleftrightarrow \lim\limits_{h \rightarrow 0}f(a+h)=L\) [더플러스수학]