Taylor Series of 1/w: Proving Convergence

Thread starter jm915
Start date Apr 18, 2010
Tags

Convergence Series Taylor Taylor series

Apr 18, 2010

jm915

Homework Statement

Find the Taylor Series for f(w) = 1/w centered at w0 = 1 using 1/w = (1/1 + (w-1)). Show that the series converges when |w-1| < 1

Homework Equations

use 1/w = (1/1 + (w-1))

The Attempt at a Solution

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Apr 18, 2010

annoymage

\frac{1}{1+x} = \sum(-1)ⁿxⁿ

you know this right?

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