Prove that is equivalent to lim xc fx L 0. xc

Chapter 1, Problem 81

(choose chapter or problem)

Prove that \(\lim_{x\rightarrow c}\ f(x)=L\) is equivalent to \(\lim_{x\rightarrow c}\ [f(x)-L]=0\).

Text Transcription:

lim_x rightarrow c f(x) = L

lim_x rightarrow c [f(x) - L] = 0

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