I know one when I see one

Suppose f\in C^\infty([0,1]) is such that for each x\in[0,1], f^{(n)}(x) is eventually zero. Then f is a polynomial.

Advertisements
I know one when I see one

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s