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Feb29-12, 06:00 PM
P: 625
considering the definition of derivative, what would the following quantity be equal to?
[tex]\lim_{\delta \to 0} \frac{f(x+g(\delta))-f(x)}{g(\delta)}[/tex]

In this case [itex]g(\delta)[/itex] is a monotonic increasing function such that g(0)=0.
For example we might have [itex]g(\delta)=\delta^3[/itex]
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