# Taylor series approximations

8 videos
1 skill
As we've already seen, Maclaurin series are special cases of Taylor series centered at 0. We'll now focus on more generalized Taylor series.

### Visualizing Taylor series approximations

VIDEO 6:01 minutes
Using Wolfram Alpha to approximate sin(x)

### Generalized Taylor series approximation

VIDEO 7:27 minutes
Approximating a function around a non-zero x value

### Visualizing Taylor series for e^x

VIDEO 6:38 minutes
Visualizing Taylor Series for e^x

### Maclaurin series based on cos x

VIDEO 8:01 minutes

### Finding power series through integration

VIDEO 11:06 minutes

### Evaluating Taylor Polynomial of derivative

VIDEO 5:23 minutes

### Finding taylor series

PRACTICE PROBLEMS
Finding taylor series using the definition

### Error or remainder of a Taylor polynomial approximation

VIDEO 11:27 minutes
Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function

### Proof: Bounding the error or remainder of a taylor polynomial approximation

VIDEO 15:08 minutes
Proof of the Lagrange Error Bound (the bound of the error)