10.1 Sums and Limits

Checkpoint 3

Find each of the following limiting values. In each case, make a connection with a derivative calculation for which you already know the answer.

  1. `lim_(Delta t rarr 0) (sin Delta t)/(Delta t)`

  2. `lim_(Delta t rarr 0) (b^(Delta t)-1)/(Delta t)`, where `b` is a positive number.