# Taylor Series Expansion

## Homework Statement

Find the Taylor series expansions for f(z) = −1/z^2 about z = i + 1.

## The Attempt at a Solution

I'm just not sure what format I'm supposed to leave it in.

Is it meant too look like this:
f(z)=f(i+1)+f'(i+1)(x-i-1)...

or this
Ʃ$\frac{1}{n!}$$f^{(n)}$(1+i) * (z-i-1)^n (also is this correct?)

Last edited:

Dick
Homework Helper
They are exactly the same thing. The first expression is just the first two terms of the second.

Yeah I'm aware of that. I guess I should keep it in the second form though. Another question: what does the square do to the function. What I wrote can't be correct because -1/z would give the same thing.

Ʃ$\frac{1}{n!}$$f^{(n)}$(1+i) * (z-i-1)^2n

Dick
Ʃ$\frac{1}{n!}$$f^{(n)}$(1+i) * (z-i-1)^2n