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