# Real analysis

Not what you're looking for? Search our solutions OR ask your own Custom question.

Assume h:R->R is continuous on R and let K={x:h(x)=0}. show that K is a closed set.

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:54 am ad1c9bdddfhttps://brainmass.com/math/real-analysis/29170

#### Solution Preview

Proof:

To show that K is a closed set, we can find an arbitrary convergent sequence x_n in K ...

#### Solution Summary

This shows how to prove a set is closed.

$2.49