Prove that if fx 0, fx 0,and then lim xa fxgx 0
Chapter 8, Problem 116(choose chapter or problem)
Prove that if \(f(x) \geq 0, \lim _{x \rightarrow a} f(x)=0, \text { and } \lim _{x \rightarrow a} g(x)=\infty\), then \(\lim _{x \rightarrow a} f(x)^{g(x)}=0\).
Text Transcription:
f(x) geq 0,
lim _x rightarrow a f(x)=0
lim _x rightarrow a g(x) = infty
lim _x rightarrow a f(x)^g(x)=0
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