How does Claudius reveal himself to be a capable monarch?

Claudius reveals himself to be a capable monarch through his adept political maneuvering and ability to maintain stability in Denmark following King Hamlet's death. He skillfully navigates court politics, consolidating power by marrying Gertrude and addressing the concerns of the nobility. His diplomatic approach is evident in his handling of Fortinbras and his efforts to maintain peace, showcasing his strategic thinking. Additionally, his ability to project authority while managing the complexities of guilt and ambition highlights his political acumen.