3.1/

Algebraic Polynomials

1. What?
2. Why?
3. Weierstrass Approximation Theorem:
   

   i.e.

4. Taylor Polynomials:
   

   Taylor Polynomials are

   To approximate an interval, we

Lagrange Interpolating Polynomials

1. The linear Lagrange interpolating polynomial:
   
2. The nth Lagrange interpolating polynomial:
   
3. The error term (bound):