Solved: Prove that if exists and does not exist, then does not exist
Chapter 1, Problem 108(choose chapter or problem)
Prove that if \(\lim \limits_{x \rightarrow c} f(x)\) exists and \(\lim \limits_{x \rightarrow c}[f(x)+g(x)]\) does not exist, then \(\lim \limits_{x \rightarrow c} g(x)\) does not exist.
Text Transcription:
lim_x rightarrow c f(x)
lim_x rightarrow c [f(x) + g(x)]
lim_x rightarrow c g(x)
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