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Estimate the Limit by Graphing the Function for an Appropriate

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Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
-  Give an example of two differentiable functions f and g with limxf(x)=limxg(x)=0 that satisfy limxf(x)g(x)=\text { Give an example of two differentiable functions } f \text { and } g \text { with } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow\infty } g ( x ) = 0 \text { that satisfy } \lim _ { x \rightarrow \infty } \frac { f ( x ) } { g ( x ) } = \infty \text {. }

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Definitions:

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