# What is the Taylor series of f(z) = #1+z^2+1/(1+z^2)# ? Please save me! Thank you :)

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#1+z^2+1/(1+z^2)#

##### 1 Answer

#### Explanation:

Since you did not mention the center of the Taylor series, I'm assuming it will be centered at

For now, ignore the presence of the terms

Recall the following Taylor series expansion:

We're going to want to get

Thus,

So,

Let's see if we can make some of the

Write out the first two terms of

Then, writing our function with the first two terms of the summation stripped out, we get

So, we got the

There isn't really a way to get the