Find differentiable functions and that satisfy the specified condition such that and
Chapter 8, Problem 69(choose chapter or problem)
Find differentiable functions f and g that satisfy the specified condition such that \(\lim _{x \rightarrow 5} f(x)=0\) and \(\lim _{x \rightarrow 5} g(x)=0\).
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
lim _{x \rightarrow 5} g(x)=0
lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=10
lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=0
lim _{x \rightarrow 5} \frac{f(x)}{g(x)}=\infty
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