- #1

LauraLovies

- 12

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1. Prove that (f O g)(x) = f(g(x)) is continuous at any point p in R in three ways a.) Using the episolon delta definition of continuity, b.) using the sequence definition of continuity, and c.) using the open set definition of continuity.

2. Prove that if U is an open set in R, then its inverse is open.