Particle P moves along the y-axis so that its position at time t is given by y(t)=4t−23 for all times t. A second particle, particle Q, moves along the x-axis so that its position at time t is given by x(t)=sin(πt)2−t for all times t≠2. As time t approaches 2, what is the limit of the position of particle Q ? Show the work that leads to your answer.