1. Hooke's law states that a force of f(x) = kx is required to hold a spring drawn x meters of length, where k is the spring constant. On a spring, a force of 40 N is required to hold it at a length of 15 cm from original length 10 cm. How much force is required to stretch the spring with the same spring constant from the original length 16 cm to 18 cm? 2. Solve the following limit: _ _ x2 1 llmsm x = x>0 x2 +x