In eqn 4.11, we neglected the next term in the Tay- lor expansion, which is d ln 2. In dE Show that this term equals dT (4.37) KBT dE and hence show that it can be neglected compared with the first two terms if the reservoir is large. (Hint: how much should the temperature of the reservoir change when you change its energy by or- der e?) In N(E-) = ln N(E) - (4.36) KBT (4.11)