1. Show thatlim h->0 (e^h -1) divided by h = In e= 1 using at least two numerical examples.
2. Given(x)= e^x, verify thatlim h->0(e^x+h-e^x) divided by h = e^x and explain how this illustrates that'(x) = ln e (x) = (x).
3. List two real life applications than can be modeled by the exponential function(x)= e^x.