Define and explain your favorite mathematical theorem

1. Short Answer Problems a) State the precise mathematical definition of lim f(x) = -0 b) State the Fundamental Theorem of Calculus. c) Find the exact value of tan(sec-1(4).

[12] 3. Read the following questions carefully. Show all of your work. Clearly indicate any theorems that you use. [2] (a) Give a precise mathematical definition of the derivative of a function f at a point a.

Define logical mathematical intelligence and give examples.