Define two functions as follows:

Using these definitions find the limit as of the ratio of the second derivatives:

First, we take the derivatives of the given functions,

And for ,

Now, we evaluate the requested limit,

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Stumbling Robot

A Fraction of a Dot
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Compute the limit of the ratio of functions satisfying given equations

Define two functions as follows:

Using these definitions find the limit as of the ratio of the second derivatives:

First, we take the derivatives of the given functions,

And for ,

Now, we evaluate the requested limit,