Consider the formula for calculating compound interest: A = P(1+!)" In this assignment you will explore a function related to this formula: f (z) = (1+ =). 1. Evaluate f(x) at each of the following values of a: . 10 . 100 . 1.000 . 1,000,000 . 1,000,000,000 2. In class, we recently started exploring the concept of a limit. What limit does your work from 1 estimate? 3. Look up Euler's number e, and compare the approximation of e you find with the values you found in part 1. What can you conclude from your comparison? CORRECTNESS (5 PTS): WRITING (5 PTS): Please show all work. The following problems are applications. You must respond in full sentences to receive full credit. You are graded not only on obtaining the correct values, but in the completeness and presentation of your results. A new medication is being studied for release. Scientists have observed that the medi- cation is therapeutic at 30mg. They have also discovered that the medication has severe side effects if the amount of the medication in the bloodstream is above 70mg. The company found that at a 60mg initial dose, 50mg were present in the bloodstream after 6 hours. If the company wants to release the medication in 60mg tablets, how long must a patient wait after the first dose to not cause the severe side effects