Prove that if and for a fixed number and all then lim xc M x c, fxgx 0
Chapter 1, Problem 113(choose chapter or problem)
Prove that if \(\lim \limits_{x \rightarrow c} f(x)=0\) and \(|g(x)| \leq M\) for a fixed number M and all \(x \neq c\), then \(\lim \limits_{x \rightarrow c} f(x) g(x)=0\).
Text Transcription:
lim_x rightarrow c f(x) = 0
|g(x)| leq M
x not equal c
lim_x rightarrow c f(x) g(x) = 0
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