Thread: Proof that a power series equals zero for all z iff each coefficient is zero

I didn't quote a lot of theorems here because they all seem pretty trivial. Is this a sufficient proof? (Please note: I'm sure there are better ways to prove this, but I'm most interested in whether or not I'm formulating good/sufficient/test-worthy proofs). Thanks so much!

Originally Posted by davismj

I didn't quote a lot of theorems here because they all seem pretty trivial. Is this a sufficient proof? (Please note: I'm sure there are better ways to prove this, but I'm most interested in whether or not I'm formulating good/sufficient/test-worthy proofs). Thanks so much!

I would agree with that!

Originally Posted by Drexel28

I would agree with that!

Finally, I got one! You don't know how long I've been waiting for this!