Mathematics

Mathematics

Problem

Let g(t)=5t−3g(t)=\dfrac{5}{t-3} represent the instantaneous growth rate, in hundreds of bacteria per minute, of a culture for t>3t>3 minutes. Which of the following best interprets the statement lim⁡t→3+g(t)=∞\displaystyle \lim_{t\to 3^{+}} g(t)=\infty in the context of the culture? a) The growth rate decreases without bound as time approaches 33 minutes from the right. b) The growth rate stabilizes at 55 hundreds of bacteria per minute as tt approaches 33 minutes. c) As time approaches 33 minutes from the right, the growth rate becomes increasingly large without bound. d) The number of bacteria becomes infinitely large exactly at t=3t=3 minutes.

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