A company is studying the temperature of a chemical reaction. The temperature T(t) is given by the function T(t) = e^(-2t) sin(2πt). Which of the following statements about the temperature is true?

Core Concept

This question tests the student's understanding of limits and the behavior of functions over time. The temperature approaches 0 as time approaches infinity due to the e^(-2t) term. Option A is incorrect because the temperature approaches 0, not infinity. Option B is incorrect because the temperature approaches 0, not a non-zero constant. Option D is incorrect because the temperature oscillates with decreasing amplitude, not increasing amplitude.