for fx=(1/x) centered at c=1
Assume that can be expressed as a polynomial.
Since it is centred at , it will be of the form
.
At we find .
Take the derivative of both sides
At we find .
Take the derivative of both sides
At we find .
Take the derivative of both sides
At we find .
Take the derivative of both sides
At we find .
Take the derivative of both sides
.
At we find .
Looking at our polynomial we have
.