Use the definition of e, and numerical approximations as y approaches 0 from the left, and y approaches 0 from the right.
(b) Use a calculator to estimate the values of the limits given below, correct to two decimal places.
lim (y -> 0) (2.7[sup]y[/sup] - 1)/ y and lim (y -> 0) (2.8[sup]y[/sup] - 1)/ y
____ < 1 < _______
What can you conclude about the value of e?
________ < e < _________