Solved: Find two functions and such that and do not exist, but does exist

Chapter 1, Problem 107

(choose chapter or problem)

Find two functions f and g such that \(\lim \limits_{x \rightarrow 0} f(x)\) and \(\lim \limits_{x \rightarrow 0} g(x)\) do not exist, but \(\lim \limits_{x \rightarrow 0}[f(x)+g(x)]\) does exist.

Text Transcription:

lim_x rightarrow 0 f(x)

lim_x rightarrow 0 g(x)

lim_x rightarrow 0 [f(x) + g(x)]

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