A company is studying the rate at which a new product is selling. The rate of sales R(t) is given by the function R(t) = 500e^(-0.1t) sin(2πt), where t is time in weeks. Which of the following statements about the rate of sales is true?

Core Concept

This question tests the student's understanding of limits and the behavior of functions over time. The rate of sales approaches 0 as time approaches infinity due to the e^(-0.1t) term. Option A is incorrect because the rate of sales approaches 0, not infinity. Option B is incorrect because the rate of sales approaches 0, not a non-zero constant. Option D is incorrect because the rate of sales oscillates with decreasing amplitude, not increasing amplitude.