Proof Consider the line $f(x)=m x+b,$ where $m \n…

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Problem 81

Proof Prove that if the limit of $f(x)$ as $x$ approaches $c$ exists, then the limit must be unique. [Hint: Let $$\lim _{x \rightarrow c} f(x)=L_{1}$$ and $$\lim _{x \rightarrow c} f(x)=L_{2}$$ and prove that $L_{1}=L_{2} . ]$

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