Answer to Question #1938 in Calculus for Abhilash

Question

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^y - 1)/ y and lim (y -> 0) (2.8^y - 1)/ y

____ < 1 < _______

What can you conclude about the value of e?

________ < e < _________