Finding Functions Find differentiable functions and that satisfy the specified condition
Chapter 8, Problem 63(choose chapter or problem)
Finding Functions Find differentiable functions f and g that satisfy the specified condition such that
\(\lim _{x \rightarrow 5} f(x)=0 \quad \text { and } \quad \lim _{x \rightarrow 5} g(x)=0 .\)
Explain how you obtained your answers. (Note: There are many correct answers.)
(a) \(\lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=10\)
(b) \(\lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=0\)
(c) \(\lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=\infty\)
Text Transcription:
lim_x rightarrow 5 f(x)=0 and lim_rightarrow 5 g(x)=0
lim_x rightarrow 5 f(x)/g(x)=10
lim_x rightarrow 5 f(x)/g(x)=0
lim_x rightarrow 5 f(x)/g(x)=infinity
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