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lim_{t[itex]\rightarrow∞[/itex]}f(g(t)) = 0

and

lim_{t[itex]\rightarrow-∞[/itex]}f(g(t)) = 0

How would I prove [itex]\frac{df}{dt}[/itex][itex]_{|}\Re[/itex] = 0? (over the reals)

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# Limit to derivative proof

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