Mathematics

Mathematics

Problem

A chemical reaction rate (in mol/s) is modeled for 0<t<40 < t < 4 by r(t)=3t+2(t−4)2.r(t)=\frac{3t+2}{(t-4)^2}. Calculate lim⁡t→4−r(t)\displaystyle \lim_{t\to 4^-} r(t) and state what this indicates about the reaction rate as time approaches 4 4\,s.

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