This document contains a 3 question math quiz for Math 231 in Spring 2015. The first question asks to define the Taylor series of a function f(x) at a point c. The second asks to state the precise definition of the binomial theorem. The third asks to find the McLaurin series of the function f(x) = x2/√(1 + x3) and use it to evaluate f(14) at 0.

1. Math 231 Quiz 7 Spring 2015
Name: Grade:
1. Define the Taylor series of the function f(x) at the point c.
2. State the binomial theorem (make sure your definition is precise).
3. Find the McLaurin series of f(x) =
x2
√
1 + x3
and use it to find f(14)
(0).